Publications

Old publications (up to 2014)

Scientific papers

2015

  1. Resolution of T. Ward's Question and the Israel-Finch Conjecture. Precise Analysis of an Integer Sequence Arising in Dynamics, Combinatorics, Probability and Computing 24/1 (2015), 195-215; with J. Gaither, G. Louchard and M. D. Ward. Preprint: [pdf]
  2. Central limit theorems for additive tree parameters with small toll functions, Combinatorics, Probability and Computing 24/1 (2015), 329-353. Preprint: [pdf]
  3. Repeated fringe subtrees in random rooted trees, Proceedings of the ANALCO15 Meeting on Analytic Algorithmics and Combinatorics, San Diego, January 4, 2015, pp. 78-88; with D. Ralaivaosaona.
  4. Bootstrapping and double-exponential limit laws; Discrete Mathematics and Theoretical Computer Science 17/1 (2015), 123-144; with H. Prodinger.
  5. The number of cones generated by a Multiresolution Analysis with a sequence of LULU operators, Quaestiones Mathematicae 38/2 (2015), 297-305; with D. Laurie and C. Rohwer. Preprint: [pdf]
  6. Variances and Covariances in the Central Limit Theorem for the Output of a Transducer, European Journal of Combinatorics 49 (2015), 167-187; with C. Heuberger and S. Kropf. Preprint: [pdf]
  7. Enumeration of the adjunctive hierarchy of hereditarily finite sets, Journal of Logic and Computation 25/3 (2015), 943-963; with G. Audrito and A. I. Tomescu. Preprint: [pdf]
  8. Counting subwords in flattened partitions of sets, Discrete Mathematics 338/11 (2015), 1989-2005; with T. Mansour and M. Shattuck. Preprint: [pdf]
  9. On identities by Larcombe-Fennessey and Cassini, The Fibonacci Quarterly 53/3 (2015), 219-220; with H. Prodinger. Preprint: [pdf]
  10. Locally oriented noncrossing trees, Electronic Journal of Combinatorics 22/3 (2015), P3.36 (15 pages); with I. O. Okoth.
  11. Canonical Trees, Compact Prefix-free Codes and Sums of Unit Fractions: A Probabilistic Analysis (full version of 72.), SIAM Journal on Discrete Mathematics 29/3 (2015), 1600-1653; with C. Heuberger and D. Krenn.
  12. Multi-base representations of integers: asymptotic enumeration and central limit theorems (full version of 85.), Applicable Analysis and Discrete Mathematics 9/2 (2015), 285-312; with D. Krenn and D. Ralaivaosaona.

2016

  1. Maximum Wiener index of trees with given segment sequence, MATCH Communications in Mathematical and in Computer Chemistry 75/1 (2016), 91-104; with E. O. D. Andriantiana and H. Wang. Preprint: [pdf]
  2. On the local and global means of subtree orders, Journal of Graph Theory 81/2 (2016), 154–166; with H. Wang. Preprint: [pdf]
  3. Betweenness Centrality in Random Trees, Proceedings of the ANALCO16 Meeting on Analytic Algorithmics and Combinatorics, Arlington, January 11, 2016, pp. 66-79; with K. Durant.
  4. On the Asymptotic Probability of Forbidden Motifs on the Fringe of Recursive Trees, Experimental Mathematics 25/3 (2016), 237-245; with M. Gopaladesikan and M. D. Ward. Preprint: [pdf]
  5. The shape of random tanglegrams, Advances in Applied Mathematics 78 (2016), 76-93; with M. Konvalinka. Preprint: [pdf]
  6. The height of multiple edge plane trees, Aequationes Mathematicae 90/3 (2016), 625-645; with C. Heuberger and H. Prodinger. Preprint: [pdf]
  7. q-Quasiadditive Functions, Proceedings of the 27th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Kraków, July 4-8, 2016; with S. Kropf.
  8. Additive functionals of d-ary increasing trees, Proceedings of the 27th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Kraków, July 4-8, 2016; with D. Ralaivaosaona.
  9. Compositions into powers of b: Asymptotic enumeration and parameters (full version of 86.), Algorithmica 75/4 (2016), 606-631; with D. Krenn. Preprint: [pdf]
  10. Erdős-Surányi sequences and trigonometric integrals, Publicationes Mathematicae Debrecen 89/4 (2016), 469-482; with L. Baker. Preprint: [pdf]
  11. Analysis of Bidirectional Ballot Sequences and Random Walks Ending in their Maximum, Annals of Combinatorics 20/4 (2016), 775-797; with B. Hackl, C. Heuberger and H. Prodinger. Preprint: [pdf]
  12. On the algebraic area of lattice walks and the Hofstadter model, Journal of Physics A: Mathematical and Theoretical 49 (2016), 495205 (22 pages); with S. Ouvry and S. Wu. Preprint: [pdf]
  13. Existence and Region of Critical Probabilities in Bootstrap Percolation on Inhomogeneous Periodic Trees, Proceedings of WAW 2016 - 13th Workshop on Algorithms and Models for the Web Graph, Montreal, December 14-15, 2016, Lecture Notes in Computer Science 10088 (2016), 47-59; with M. Bradonjić. Preprint: [pdf]

2017

  1. Hitting Times, Cover Cost, and the Wiener Index of a Tree, Journal of Graph Theory 84/3 (2017), 311-326; with A. Georgakopoulos. Preprint: [pdf]
  2. On the distribution of random walk hitting times in random trees, Proceedings of the ANALCO17 Meeting on Analytic Algorithmics and Combinatorics, Barcelona, January 16-17, 2017, pp. 73-84; with J. Oosthuizen.
  3. Paths vs. stars in the local profile of trees, Electronic Journal of Combinatorics 24/1 (2017), P1.22 (12 pages); with E. Czabarka and L. Székely.
  4. Extremal problems for trees with given segment sequence, Discrete Applied Mathematics 220 (2017), 20-34; with E. O. D. Andriantiana and H. Wang. Preprint: [pdf]
  5. On q-Quasiadditive and q-Quasimultiplicative Functions (full version of 109.), Electronic Journal of Combinatorics 24/1 (2017), P 1.60 (22 pages); with S. Kropf.

Accepted for publication

  1. On the distribution of betweenness centrality in random trees (full version of 105.), accepted for publication in Theoretical Computer Science; with K. Durant. Preprint: [pdf]
  2. On the number of nonisomorphic subtrees of a tree, accepted for publication in Journal of Graph Theory; with E. Czabarka and L. Székely. Preprint: [pdf]
  3. On the distribution of subtree orders of a tree, accepted for publication in Ars Mathematica Contemporanea; with D. Ralaivaosaona. Preprint: [pdf]
  4. Regularized Gaussian belief propagation, accepted for publication in Statistics and Computing; with F. Kamper, S. Steel and J.A. du Preez.
  5. Maximizing the number of independent sets of fixed size in connected graphs with given independence number, accepted for publication in Graphs and Combinatorics; with F. Lehner. Preprint: [pdf]
  6. Inducibility in binary trees and crossings in random tanglegrams, accepted for publication in SIAM Journal on Discrete Mathematics; with E. Czabarka and L. Székely. Preprint: [pdf]

Preprints

  1. Limits of subcritical random graphs and random graphs with excluded minors; with A. Georgakopoulos. Preprint: [pdf]
  2. A central limit theorem for additive functionals of increasing trees (full version of 110.); with D. Ralaivaosaona. Preprint: [pdf]
  3. Subcritical graph classes containing all planar graphs; with A. Georgakopoulos. Preprint: [pdf]
  4. Graphs with few total dominating sets; with M. Krzywkowski. Preprint: [pdf]

Book chapters

  • Problems Related to Graph Indices in Trees, in Recent Trends in Combinatorics (A. Beveridge, J. R. Griggs, L. Hogben, G. Musiker, P. Tetali, eds.), pp. 3-30, Springer, 2016; with L. Székely and H. Wang.
  • Laplacian-Energy-Like Invariant: Laplacian Coefficients, Extremal Graphs and Bounds, in Energies of Graphs – Theory and Applications (I. Gutman, X. Li, eds.), pp. 81-110, Mathematical Chemistry Monographs No. 17, 2016; with D. Stevanović.
  • Upper and Lower Bounds for Merrifield-Simmons Index and Hosoya Index, in Bounds in Chemical Graph Theory – Basics (I. Gutman, B. Furtula, K. C. Das, E. Milovanović, I. Milovanović, eds.), pp. 155-187, Mathematical Chemistry Monographs No. 19, 2017.
  • On the monoid generated by a Lucas sequence, in Number Theory - Diophantine problems, uniform distribution and applications (C. Elsholtz, P. Grabner, eds.), pp. 281-301, Springer 2017; with C. Heuberger. Preprint: [pdf]


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