Stephan Wagner
Professor i matematik med inriktning mot sannolikhetsteori vid Matematiska institutionen; Akademisk personal
- Telefon:
- 018-471 32 88
- E-post:
- stephan.wagner@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Regementsvägen 10
- Postadress:
- Box 480
751 06 UPPSALA
Ladda ned kontaktuppgifter för Stephan Wagner vid Matematiska institutionen; Akademisk personal
Professor i matematik med inriktning mot sannolikhetsteori vid Matematiska institutionen; Sannolikhetsteori och kombinatorik
- E-post:
- stephan.wagner@math.uu.se
- Besöksadress:
- Ångströmlaboratoriet, Regementsvägen 10
- Postadress:
- Box 480
751 06 UPPSALA
Kort presentation
Mina forskningsintressen är främst diskret matematik, särskilt kombinatorisk sannolikhet (slumpmässiga träd, slumpmässiga grafer och andra slumpmässiga strukturer), enumerativ och analytisk kombinatorik och grafteori.
Biografi
2000 - 2006 Studier i matematik vid TU Graz, Österrike
2007 - 2019 Department of Mathematical Sciences, Stellenbosch University, Sydafrika
2020 - nuvarande Matematiska institutionen, Uppsala Universitet
Forskning
Senaste publicationer och preprints:
2020
- On the minimal Hamming weight of a multi-base representation, Journal of Number Theory 208 (2020), 168-179; with D. Krenn and V. Suppakitpaisarn. Preprint: [pdf]
- Inducibility of d-ary trees, Discrete Mathematics 343/2 (2020), 111671 (15 pages); with E. Czabarka, A. A. V. Dossou-Olory and L. Székely. Preprint: [pdf]
- A central limit theorem for almost local additive tree functionals, Algorithmica 82/3 (2020), 642-679; with D. Ralaivaosaona and M. Šileikis. Preprint: [pdf]
- On the distance spectral radius of trees with given degree sequence; Discussiones Mathematicae Graph Theory (special issue dedicated to the memory of Slobodan Simić) 40/2 (2020), 495-524; with K. Dadedzi and V. Razanajatovo Misanantenaina.
- On the number of increasing trees with label repetitions, Discrete Mathematics 343/8 (2020), 111722 (12 pages); with O. Bodini, A. Genitrini and B. Gittenberger. Preprint: [pdf]
- The average size of independent sets of graphs, European Journal of Mathematics 6 (2020), 561-576; with E. O. D. Andriantiana and V. Razanajatovo Misanantenaina. Preprint: [pdf]
- The average size of matchings in graphs, Graphs and Combinatorics 36 (2020), 539-560; with E. O. D. Andriantiana and V. Razanajatovo Misanantenaina. Preprint: [pdf]
- Matchings in graphs with a given number of cuts, Discrete Applied Mathematics 283 (2020), 473-481; with J. Liu and F. Huang. Preprint: [pdf]
- Block statistics in subcritical graph classes, Proceedings of the 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020); Leibniz International Proceedings in Informatics 159, Article 24; with C. Requilé and D. Ralaivaosaona.
- On the probability that a random digraph is acyclic, Proceedings of the 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020); Leibniz International Proceedings in Informatics 159, Article 25; with D. Ralaivaosaona and V. Rasendrahasina.
- On the Collection of Fringe Subtrees in Random Binary Trees, Proceedings of the 14th Latin American Theoretical Informatics Symposium (LATIN 2020), São Paulo, Brazil; Lecture Notes in Computer Science 12118 (2020), 546-558; with L. Seelbach Benkner. Preprint: [pdf]
- The number of distinct adjacent pairs in geometrically distributed words, Discrete Mathematics and Theoretical Computer Science 22/4 (2020), #10 (18 pages); with M. Archibald, A. Blecher, C. Brennan, A. Knopfmacher and M. D. Ward.
- On two subclasses of Motzkin paths and their relation to ternary trees, in Algorithmic Combinatorics - Enumerative Combinatorics, Special Functions and Computer Algebra (V. Pillwein and C. Schneider, eds.), Springer 2020; with H. Prodinger and S. J. Selkirk. Preprint: [pdf]
2021
- Irrationality of growth constants associated with polynomial recursions, Journal of Integer Sequences 24/1 (2021), article 21.1.6 (9 pages); with V. Ziegler.
- Extremal trees with fixed degree sequence, Electronic Journal of Combinatorics 28/1 (2021), P 1.1 (34 pages); with E. O. D. Andriantiana and V. Razanajatovo Misanantenaina.
- On the maximum mean subtree order of trees, European Journal of Combinatorics 97 (2021), 103388 (19 pages); with S. Cambie and H. Wang. Preprint: [pdf]
- Further results on the inducibility of d-ary trees. Australasian Journal of Combinatorics 81 (2021), 1-24; with A. A. V. Dossou-Olory.
- On the probability that a random subtree is spanning. Journal of Graph Theory 98/2 (2021), 195-215. Preprint: [pdf]
2022
- Trees with minimum number of infima closed sets. Discrete Mathematics 345/5 (2022), 112793 (20 pages); with E. O. D. Andriantiana. Preprint: [pdf]
- Trees in Many Contexts. Notices of the American Mathematical Society 69/2 (2022), 284-286; with H. Smith Blake, M. Bóna, E. Czabarka and H. Wang.
- Steiner Wiener index and line graphs of trees. Discrete Mathematics Letters (special issue dedicated to the memory of Nenad Trinajstić) 9 (2022), 86-91; with M. Kovše and V. Razanajatovo Misanantenaina.
- A polynomial associated with rooted trees and specific posets, Transactions on Combinatorics 11/3 (2022), 255-279; with V. Razanajatovo Misanantenaina.
- Uncovering a random tree. 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Art. No. 10, 17 pp., LIPIcs. Leibniz Int. Proc. Inform., 225; with B. Hackl and A. Panholzer.
- Automorphisms of random trees. 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Art. No. 16, 16 pp., LIPIcs. Leibniz Int. Proc. Inform., 225; with C. Olsson.
- Maximum number of subtrees in cacti and block graphs. Aequationes Math. 96/5 (2022), 1027-1040; with J. Li, K. Xu, T. Zhang and H. Wang.
- Gini index on generalized r-partitions. Math. Slovaca 72/5 (2022), 1129-1144; with T. Mansour, M. Schork and M. Shattuck.
- Distinct Fringe Subtrees in Random Trees, Algorithmica 84 (2022), no. 12, 3686–3728 ; with L. Seelbach Benkner. Preprint: [pdf]
2023
- On the mean subtree order of trees under edge contraction, Journal of Graph Theory 102/3 (2023), 535-551; with Z. Luo, K. Xu and H. Wang.
- Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo k. Electronic Journal of Combinatorics 30/1 (2023), P1.26 (18 pages); with C. Heuberger and S. J. Selkirk.
- Broadcasting induced colourings of random recursive trees and preferential attachment trees, to appear in Random Structures & Algorithms; with C. Desmarais and C. Holmgren. Preprint: [pdf]
- Refined enumeration of k-plane trees and k-noncrossing trees, to appear in Annals of Combinatorics; with I. O. Okoth. Preprint: [pdf]
Preprints
- Limits of subcritical random graphs and random graphs with excluded minors; with A. Georgakopoulos. Preprint: [pdf]
- The birth of the strong components; with É. de Panafieu, S. Dovgal, D. Ralaivaosaona and V. Rasendrahasina. Preprint: [pdf]
- Convex characters, algorithms and matchings; with S. Kelk and R. Meuwese. Preprint: [pdf]
- Average Case Analysis of Leaf-Centric Binary Tree Sources; with M. Lohrey and L. Seelbach Benkner. Preprint: [pdf]
- On the distribution of eigenvalues of increasing trees; with K. Dadedzi. Preprint: [pdf]
- Trees maximizing the number of almost-perfect matchings; with S. Cambie, B. McCoy, G. Sharma and C. Yap. Preprint: [pdf]
- The minimum number of maximal independent sets in twin-free graphs; with S. Cambie. Preprint: [pdf]
- The distribution of the number of automorphisms of random trees; with C. Olsson. Preprint: [pdf]
- Conditioned Galton-Watson trees: The shape functional, and more on the sum of powers of subtree sizes; with J. A. Fill and S. Janson. Preprint: [pdf]
-
The Uncover Process for Random Labeled Trees; with B. Hackl and A. Panholzer. Preprint: [pdf]
Äldre publikationer (före 2020) finns här: Gamla publikationer

Publikationer
Senaste publikationer
-
Enumeration of Bipartite Acyclic Digraphs
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för Enumeration of Bipartite Acyclic Digraphs
- Ladda ner fulltext (pdf) av Enumeration of Bipartite Acyclic Digraphs
-
On Cycles in Multiset Permutations, Parking Functions, and Related Structures
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för On Cycles in Multiset Permutations, Parking Functions, and Related Structures
- Ladda ner fulltext (pdf) av On Cycles in Multiset Permutations, Parking Functions, and Related Structures
-
Path Length and External Path Length in Random Trees
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för Path Length and External Path Length in Random Trees
- Ladda ner fulltext (pdf) av Path Length and External Path Length in Random Trees
-
Ingår i Theoretical Computer Science, 2026
-
A computer algebra package for bivariate asymptotics with effective error bounds
Ingår i Theoretical Computer Science, 2026
- DOI för A computer algebra package for bivariate asymptotics with effective error bounds
- Ladda ner fulltext (pdf) av A computer algebra package for bivariate asymptotics with effective error bounds
Alla publikationer
Artiklar i tidskrift
-
Ingår i Theoretical Computer Science, 2026
-
A computer algebra package for bivariate asymptotics with effective error bounds
Ingår i Theoretical Computer Science, 2026
- DOI för A computer algebra package for bivariate asymptotics with effective error bounds
- Ladda ner fulltext (pdf) av A computer algebra package for bivariate asymptotics with effective error bounds
-
Distribution of new statistics of parking functions and their generalizations
Ingår i Advances in Applied Mathematics, 2026
- DOI för Distribution of new statistics of parking functions and their generalizations
- Ladda ner fulltext (pdf) av Distribution of new statistics of parking functions and their generalizations
-
Binary trees with extremal number of maximal independent sets
Ingår i Discrete Mathematics, 2026
- DOI för Binary trees with extremal number of maximal independent sets
- Ladda ner fulltext (pdf) av Binary trees with extremal number of maximal independent sets
-
Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees
Ingår i Bulletin of Mathematical Biology, 2025
- DOI för Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees
- Ladda ner fulltext (pdf) av Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees
-
The number of total dominating sets in binary trees
Ingår i Journal of Combinatorial Mathematics and Combinatorial Computing, s. 211-227, 2025
-
The number of dominating sets in d-ary trees
Ingår i Afrika Matematika, 2025
- DOI för The number of dominating sets in d-ary trees
- Ladda ner fulltext (pdf) av The number of dominating sets in d-ary trees
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Trees maximizing the number of almost-perfect matchings
Ingår i Applicable Analysis and Discrete Mathematics, s. 104-129, 2025
-
Subdiagonal and superdiagonal compositions
Ingår i The Art of Discrete and Applied Mathematics, 2024
-
Ingår i La Matematica, s. 435-508, 2024
- DOI för Conditioned Galton–Watson Trees: The Shape Functional, and More on the Sum of Powers of Subtree Sizes and Its Mean
- Ladda ner fulltext (pdf) av Conditioned Galton–Watson Trees: The Shape Functional, and More on the Sum of Powers of Subtree Sizes and Its Mean
-
The distribution of the maximum protection number in simply generated trees
Ingår i Combinatorics, probability & computing, s. 518-553, 2024
- DOI för The distribution of the maximum protection number in simply generated trees
- Ladda ner fulltext (pdf) av The distribution of the maximum protection number in simply generated trees
-
The minimum number of maximal independent sets in twin-free graphs
Ingår i The Electronic Journal of Combinatorics, 2024
- DOI för The minimum number of maximal independent sets in twin-free graphs
- Ladda ner fulltext (pdf) av The minimum number of maximal independent sets in twin-free graphs
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Convex Characters, Algorithms, and Matchings
Ingår i SIAM Journal on Discrete Mathematics, s. 380-411, 2024
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The MacMahon q-Catalan is Convex
Ingår i Annals of Combinatorics, s. 1003-1019, 2024
-
The birth of the strong components
Ingår i Random structures & algorithms (Print), s. 170-266, 2024
-
Refined Enumeration of k-plane Trees and k-noncrossing Trees
Ingår i Annals of Combinatorics, s. 121-153, 2024
- DOI för Refined Enumeration of k-plane Trees and k-noncrossing Trees
- Ladda ner fulltext (pdf) av Refined Enumeration of k-plane Trees and k-noncrossing Trees
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Bounding Mean Orders of Sub-k-Trees of k-Trees
Ingår i The Electronic Journal of Combinatorics, 2024
- DOI för Bounding Mean Orders of Sub-k-Trees of k-Trees
- Ladda ner fulltext (pdf) av Bounding Mean Orders of Sub-k-Trees of k-Trees
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On the distribution of eigenvalues of increasing trees
Ingår i Discrete Mathematics, 2024
- DOI för On the distribution of eigenvalues of increasing trees
- Ladda ner fulltext (pdf) av On the distribution of eigenvalues of increasing trees
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The Distribution of the Number of Automorphisms of Random Trees
Ingår i La Matematica, s. 743-771, 2023
- DOI för The Distribution of the Number of Automorphisms of Random Trees
- Ladda ner fulltext (pdf) av The Distribution of the Number of Automorphisms of Random Trees
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The Uncover Process for Random Labeled Trees
Ingår i La Matematica, s. 861-892, 2023
- DOI för The Uncover Process for Random Labeled Trees
- Ladda ner fulltext (pdf) av The Uncover Process for Random Labeled Trees
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Broadcasting-induced colorings of preferential attachment trees
Ingår i Random structures & algorithms (Print), s. 364-405, 2023
- DOI för Broadcasting-induced colorings of preferential attachment trees
- Ladda ner fulltext (pdf) av Broadcasting-induced colorings of preferential attachment trees
-
Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo k
Ingår i The Electronic Journal of Combinatorics, 2023
- DOI för Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo k
- Ladda ner fulltext (pdf) av Enumeration of Generalized Dyck Paths Based on the Height of Down-Steps Modulo k
-
On the mean subtree order of trees under edge contraction
Ingår i Journal of Graph Theory, s. 535-551, 2023
- DOI för On the mean subtree order of trees under edge contraction
- Ladda ner fulltext (pdf) av On the mean subtree order of trees under edge contraction
-
Trees with minimum number of infima closed sets
Ingår i Discrete Mathematics, 2022
-
Ingår i Notices of the American Mathematical Society, s. 284-286, 2022
-
Steiner Wiener index and line graphs of trees
Ingår i Discrete Mathematics Letters, s. 86-91, 2022
- DOI för Steiner Wiener index and line graphs of trees
- Ladda ner fulltext (pdf) av Steiner Wiener index and line graphs of trees
-
Distinct Fringe Subtrees in Random Trees
Ingår i Algorithmica, s. 3686-3728, 2022
- DOI för Distinct Fringe Subtrees in Random Trees
- Ladda ner fulltext (pdf) av Distinct Fringe Subtrees in Random Trees
-
Maximum number of subtrees in cacti and block graphs
Ingår i Aequationes Mathematicae, s. 1027-1040, 2022
-
Gini index on generalized r-partitions
Ingår i Mathematica Slovaca, s. 1129-1144, 2022
-
A POLYNOMIAL ASSOCIATED WITH ROOTED TREES AND SPECIFIC POSETS
Ingår i TRANSACTIONS ON COMBINATORICS, s. 255-279, 2022
-
Irrationality of Growth Constants Associated with Polynomial Recursions
Ingår i Journal of Integer Sequences, 2021
-
On the probability that a random subtree is spanning
Ingår i Journal of Graph Theory, s. 195-215, 2021
- DOI för On the probability that a random subtree is spanning
- Ladda ner fulltext (pdf) av On the probability that a random subtree is spanning
-
On the maximum mean subtree order of trees
Ingår i European journal of combinatorics (Print), 2021
- DOI för On the maximum mean subtree order of trees
- Ladda ner fulltext (pdf) av On the maximum mean subtree order of trees
-
The number of distinct adjacent pairs in geometrically distributed words
Ingår i Discrete Mathematics & Theoretical Computer Science, 2021
- DOI för The number of distinct adjacent pairs in geometrically distributed words
- Ladda ner fulltext (pdf) av The number of distinct adjacent pairs in geometrically distributed words
-
Extremal trees with fixed degree sequence
Ingår i The Electronic Journal of Combinatorics, 2021
- DOI för Extremal trees with fixed degree sequence
- Ladda ner fulltext (pdf) av Extremal trees with fixed degree sequence
Kapitel i böcker, delar av antologi
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On the collection of fringe subtrees in random binary trees
Ingår i LATIN 2020, s. 546-558, Springer, 2020
Konferensbidrag
-
Enumeration of Bipartite Acyclic Digraphs
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för Enumeration of Bipartite Acyclic Digraphs
- Ladda ner fulltext (pdf) av Enumeration of Bipartite Acyclic Digraphs
-
On Cycles in Multiset Permutations, Parking Functions, and Related Structures
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för On Cycles in Multiset Permutations, Parking Functions, and Related Structures
- Ladda ner fulltext (pdf) av On Cycles in Multiset Permutations, Parking Functions, and Related Structures
-
Path Length and External Path Length in Random Trees
Ingår i 37th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2026), 2026
- DOI för Path Length and External Path Length in Random Trees
- Ladda ner fulltext (pdf) av Path Length and External Path Length in Random Trees
-
Composition Schemes: q-Enumerations and Phase Transitions in Gibbs Models
Ingår i 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024), 2024
- DOI för Composition Schemes: q-Enumerations and Phase Transitions in Gibbs Models
- Ladda ner fulltext (pdf) av Composition Schemes: q-Enumerations and Phase Transitions in Gibbs Models
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Binomial Sums and Mellin Asymptotics with Explicit Error Bounds: A Case Study
Ingår i 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024), 2024
- DOI för Binomial Sums and Mellin Asymptotics with Explicit Error Bounds: A Case Study
- Ladda ner fulltext (pdf) av Binomial Sums and Mellin Asymptotics with Explicit Error Bounds: A Case Study
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A Bijection for the Evolution of B-Trees
Ingår i 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis ofAlgorithms (AofA 2024), 2024
- DOI för A Bijection for the Evolution of B-Trees
- Ladda ner fulltext (pdf) av A Bijection for the Evolution of B-Trees
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Statistics of Parking Functions and Labeled Forests
Ingår i 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024), 2024
- DOI för Statistics of Parking Functions and Labeled Forests
- Ladda ner fulltext (pdf) av Statistics of Parking Functions and Labeled Forests
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On the Number of Distinct Fringe Subtrees in Binary Search Trees
Ingår i 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024), 2024
- DOI för On the Number of Distinct Fringe Subtrees in Binary Search Trees
- Ladda ner fulltext (pdf) av On the Number of Distinct Fringe Subtrees in Binary Search Trees
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The root cluster after percolation on preferential attachment trees
Ingår i Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications, EUROCOMB' 2023, s. 343-348, 2023
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Ingår i 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022), 2022
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Ingår i 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, 2022
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On the Probability That a Random Digraph Is Acyclic
Ingår i 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020), 2020
- DOI för On the Probability That a Random Digraph Is Acyclic
- Ladda ner fulltext (pdf) av On the Probability That a Random Digraph Is Acyclic
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Block Statistics in Subcritical Graph Classes
Ingår i 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020), 2020
- DOI för Block Statistics in Subcritical Graph Classes
- Ladda ner fulltext (pdf) av Block Statistics in Subcritical Graph Classes