*Extremal Problems for Topological Indices in Combinatorial Chemistry*, Journal of Computational Biology 12/7 (2005), 1004-1013; with R.F. Tichy. Preprint: [pdf]

*A class of trees and its Wiener index*, Acta Applicandae Mathematicae 91/2 (2006), 119-132. Preprint: [pdf]*On the number of decomposable trees*, Proceedings of the Fourth Colloquium on Mathematics and Computer Science, Nancy, September 18-22, 2006, pp. 301-308.*The number of spanning trees of finite Sierpinski graphs*, Proceedings of the Fourth Colloquium on Mathematics and Computer Science, Nancy, September 18-22, 2006, pp. 411-414; with E. Teufl.*On an identity for the cycle indices of rooted tree automorphism groups*, Electronic Journal of Combinatorics 13(1) (2006), N14 (7 pages).*The Fibonacci Number of generalized Petersen graphs*, The Fibonacci Quarterly 44/4 (2006), 362-367. Preprint: [pdf]

*Extremal trees with respect to Hosoya Index and Merrifield-Simmons Index*, MATCH Communications in Mathematical and in Computer Chemistry 57 (2007), 221-233.*Correlation of graph-theoretical indices*, SIAM Journal on Discrete Mathematics 21/1 (2007), 33-46. Preprint: [pdf]; see also proof details*On the average Wiener index of degree-restricted trees*, Australasian Journal of Combinatorics 37 (2007), 187-203. Preprint: [pdf]*On the number of matchings of a tree*, European Journal of Combinatorics 28/4 (2007), 1322-1330. Preprint: [pdf]*Numbers with fixed sum of digits in linear recurrent number systems*, The Ramanujan Journal 14/1 (2007), 43-68. Preprint: [pdf]*Graphs, Partitions and Fibonacci Numbers*, Discrete Applied Mathematics 155/10 (2007), 1175-1187; with A. Knopfmacher, R.F. Tichy. and V. Ziegler. Preprint: [pdf]*Enumeration problems for classes of self-similar graphs*, Journal of Combinatorial Theory, Series A 114/7 (2007), 1254-1277; with E. Teufl. Preprint: [pdf]*Perfect matchings and k-decomposability of increasing trees*, Séminaire Lotharingien de Combinatoire B57a (2007), 14 pages; with M. Kuba.*The Fibonacci Number of Fibonacci trees and a related family of polynomial recurrence systems*, The Fibonacci Quarterly 45/3 (2007), 247-253. Preprint: [pdf]*Minimal and maximal plateau lengths in Motzkin paths*, Proceedings of the 2007 Conference on Analysis of Algorithms, Juan les pins, June 17-22, 2007, pp. 353-362; with H. Prodinger.

*Algorithmic generation of molecular graphs with large Merrifield-Simmons index*, MATCH Communications in Mathematical and in Computer Chemistry 59/1 (2008), 239-252; with R.F. Tichy. See also programs*Maximizing the number of independent subsets over trees with bounded degree*, Journal of Graph Theory 58/1 (2008), 49-68; with C. Heuberger. Preprint available as report 2007-3: [pdf]*The distribution of ascents of size d or more in partitions of n*, Combinatorics, Probability and Computing 17/4 (2008), 495-509; with C. Brennan and A. Knopfmacher. Preprint: [pdf]*Combinatorial properties of a general domination problem with parity constraints*, Discrete Mathematics 308/24 (2008), 6355-6367; with J. Hatzl. Preprint: [pdf]*Positional number systems with digits forming an arithmetic progression*, Monatshefte für Mathematik 155/3-4 (2008), 349-375; with C. Heuberger and H. Prodinger. Preprint available as report 2007-10: [pdf]*Subset counting in trees*, Ars Combinatoria 89 (2008), 127-139. Preprint: [pdf]*Joint distributions for movements of elements in Sattolo's and the Fisher-Yates algorithm*, Quaestiones Mathematicae 31/4 (2008), 307–344; with G. Louchard and H. Prodinger. Preprint: [pdf]

*Asymptotic enumeration on self-similar graphs with two boundary vertices*, Discrete Mathematics and Theoretical Computer Science 11/1 (2009), 11-32; with E. Teufl. Preprint: [pdf]*Molecular graphs and the inverse Wiener index problem*, Discrete Applied Mathematics 157/7 (2009), 1544-1554; with H. Wang and G. Yu. Preprint: [pdf]; see also Mathematica files*On the parity of the Wiener index*, European Journal of Combinatorics 30/4 (2009), 996-1004; with H. Wang. Preprint: [pdf]*On tries, contention trees and their analysis*, Annals of Combinatorics 12/4 (2009), 493-507. Preprint: [pdf]*On a Class of Extremal Trees for Various Indices*, MATCH Communications in Mathematical and in Computer Chemistry 62/3 (2009), 437-464; with C. Heuberger.*Chemical Trees Minimizing Energy and Hosoya Index*, Journal of Mathematical Chemistry 46/1 (2009), 214-230; with C. Heuberger. Preprint available as report 2008-6: [pdf]*Some new results on distance-based graph invariants*, European Journal of Combinatorics 30/5 (2009), 1149-1163; with M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi. Preprint: [pdf]*The digit generating function of a polynomial*, Journal of Number Theory 129/6 (2009), 1325-1337; with H. Prodinger. Preprint: [pdf]*Waring's problem with restrictions on q-additive functions*, Mathematica Slovaca 59/3 (2009), 339-348. Preprint: [pdf]*An asymptotic independence theorem for the number of matchings in graphs*, Graphs and Combinatorics 25/2 (2009), 239-251; with E. Teufl. Preprint: [pdf]*Almost all trees have an even number of independent sets*, Electronic Journal of Combinatorics 16(1) (2009), R93 (10 pages).*On a problem of Ahlswede and Katona*, Studia Scientiarum Mathematicarum Hungarica 46/3 (2009), 423-435; with H. Wang. Preprint: [pdf]*The inverse problem for certain tree parameters*, Discrete Applied Mathematics 157/15 (2009), 3314 - 3319; with E. Czabarka and L. Székely. Preprint: [pdf]; see also Mathematica file*Spanning forests, electrical networks, and a determinant identity*, Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics, Hagenberg, July 20-24, 2009, pp. 847-858; with E. Teufl.*On the distribution of the longest run in number partitions*, The Ramanujan Journal 20/2 (2009), 189-206. Preprint: [pdf]*Exact and asymptotic enumeration of perfect matchings in self-similar graphs*, Discrete Mathematics 309/23-24 (2009), 6612-6625; with E. Teufl. Preprint: [pdf]

*Determinant identities for Laplace matrices*, Linear Algebra and its Applications 432/1 (2010), 441-457; with E. Teufl. Preprint: [pdf]*Deterministic edge-weights in increasing tree families*, Combinatorics, Probability and Computing 19/1 (2010), 99-119; with M. Kuba. Preprint: [pdf]*Bijections for a class of labeled plane trees*, European Journal of Combinatorics 31/3 (2010), 720-732; with N.S.S. Gu and H. Prodinger. Preprint: [pdf]*Enumeration of matchings in families of self-similar graphs*, Discrete Applied Mathematics 158/14 (2010), 1524-1535; with E. Teufl. Preprint: [pdf]*A central limit theorem for integer partitions*, Monatshefte für Mathematik 161/1 (2010), 85-114; with M. Madritsch. Preprint: [pdf]*A note on the inverse problem for the Wiener index*, MATCH Communications in Mathematical and in Computer Chemistry 64/3 (2010), 639-646.*Records in set partitions*, Electronic Journal of Combinatorics 17(1) (2010), R109 (14 pages); with A. Knopfmacher and T. Mansour.*Asymptotics of the extremal values of certain graph parameters in trees with bounded degree*, Publicationes Mathematicae Debrecen 77/3-4 (2010), 347-367; with C. Heuberger. Preprint available as report 2007-12: [pdf]*Enumerating set partitions by the number of positions between adjacent occurrences of a letter*, Applicable Analysis and Discrete Mathematics 4 (2010), 284-308; with T. Mansour and M. Shattuck.*On unary nodes in tries*, Proceedings of the 21st International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Vienna, June 28 - July 2, 2010, pp. 577-590.*On the number of spanning trees on various lattices*, Journal of Physics A: Mathematical and Theoretical 43 (2010), 415001 (8 pages); with E. Teufl. Preprint: [pdf]*On the distribution of depths in increasing trees*, Electronic Journal of Combinatorics 17(1) (2010), R137 (9 pages); with M. Kuba.*Maxima and minima of the Hosoya index and the Merrifield-Simmons index: A survey of results and techniques*, Acta Applicandae Mathematicae 112/3 (2010), 323-346; with I. Gutman. Preprint: [pdf]*Counting all parity realizable trees*, Journal of Combinatorial Mathematics and Combinatorial Computing 75 (2010), 11-32. Preprint: [pdf]

*Fibonacci Integers*, Journal of Number Theory 131/3 (2011), 440-457; with F. Luca and C. Pomerance. Preprint: [pdf]*On the number of independent subsets in trees with restricted degrees*, Mathematical and Computer Modelling 53/5-6 (2011), 678-683; with E. O. D. Andriantiana. Preprint: [pdf]*Resistance scaling and the number of spanning trees in self-similar lattices*, Journal of Statistical Physics 142/4 (2011), 879-897; with E. Teufl. Preprint: [pdf]*Limit distributions of smallest gap and largest repeated part in integer partitions*, The Ramanujan Journal 25/2 (2011), 229-246. Preprint: [pdf]*The number of spanning trees in self-similar graphs*, Annals of Combinatorics 15/2 (2011), 355-380; with E. Teufl. Preprint: [pdf]*Unicyclic graphs with large energy*, Linear Algebra and its Applications 435/6 (2011), 1399-1414; with E. O. D. Andriantiana. Preprint: [pdf]*Unfair Permutations*, European Journal of Combinatorics 32 (2011), 1282-1298; with H. Prodinger and C. Schneider. Preprint: [pdf]*The number of maximum matchings in a tree*, Discrete Mathematics 311/21 (2011), 2512-2542; with C. Heuberger. Preprint available as report 2010-14: [pdf]*Labeled trees, functions, and an algebraic identity*, Electronic Journal of Combinatorics 18(1) (2011), P188 (5 pages); Preprint: [pdf]*Separation of the maxima in samples of geometric random variables*, Applicable Analysis and Discrete Mathematics 5/2 (2011), 271-282; with C. Brennan, A. Knopfmacher and T. Mansour.

*Asymptotic enumeration of extensional acyclic digraphs*, Proceedings of the ANALCO12 Meeting on Analytic Algorithmics and Combinatorics, Kyoto, January 16, 2012, pp. 1-8.*On the Wiener index of random trees*, Discrete Mathematics 312/9 (2012), 1502-1511. Preprint: [pdf]*Successions in words and compositions*, Annals of Combinatorics 16/2 (2012), 277-287; with A. Knopfmacher and A. Munagi. Preprint: [pdf]*Greedy trees, caterpillars, and Wiener-type graph invariants*, MATCH Communications in Mathematical and in Computer Chemistry 68/1 (2012), 273-292; with N. S. Schmuck and H. Wang.*Decomposing the hypercube Q_n into n isomorphic edge-disjoint trees*, Discrete Mathematics 312/10 (2012), 1819-1822; with M. Wild. Preprint: [pdf]*Additive tree functionals with small toll functions and subtrees of random trees*, Proceedings of the 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Montreal, June 18-22, 2012, pp. 67-80.*Energy Bounds for Graphs with Fixed Cyclomatic Number*, MATCH Communications in Mathematical and in Computer Chemistry 68/3 (2012), 661-674.*The matching energy of a graph*, Discrete Applied Mathematics 160/15 (2012), 2177-2187; with I. Gutman. Preprint: [pdf]

*Analysis of Parameters of Trees Corresponding to Huffman Codes and Sums of Unit Fractions*, Proceedings of the ANALCO13 Meeting on Analytic Algorithmics and Combinatorics, New Orleans, January 6, 2013, pp. 33-42; with C. Heuberger and D. Krenn.*On sums of distinct odd squares arising from a class of totally symmetric plane partitions*, Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie 56(104)/2 (2013), 163-171; with A. Blecher, A. Knopfmacher and F. Luca. Preprint: [pdf]*Free Lamplighter Groups and a Question of Atiyah*, American Journal of Mathematics 135/3 (2013), 835-849; with F. Lehner. Preprint: [pdf]*Distance-based graph invariants of trees and the Harary index*, FILOMAT 27/1 (2013), 41-50; with H. Wang and X. Zhang. Preprint: [pdf]*Asymptotic enumeration of extensional acyclic digraphs*(full version of 64.), Algorithmica 66/4 (2013), 829-847. Preprint: [pdf]*Greedy trees, subtrees and antichains*, Electronic Journal of Combinatorics 20/3 (2013), P28 (25 pages); with E. O. D. Andriantiana and H. Wang.*Coupon collecting and transversals of hypergraphs*, Discrete Mathematics and Theoretical Computer Science 15/2 (2013), 259-270; with M. Wild, S. Janson and D. Laurie. Preprint: [pdf]*The number of fixed points of Wilf's partition involution*, Electronic Journal of Combinatorics 20/4 (2013), P13 (7 pages).*A note on the number of dominating sets of a graph*, Utilitas Mathematica 92 (2013), 25-31. Preprint: [pdf]*Spectral moments of trees with given degree sequence*, Linear Algebra and its Applications 439 (2013), 3980-4002; with E. O. D. Andriantiana. Preprint: [pdf]

*Set partition asymptotics and a conjecture of Gould and Quaintance*, Journal of Mathematical Analysis and Applications 416/2 (2014), 672-682; with W. Asakly, A. Blecher, C. Brennan, A. Knopfmacher and T. Mansour. Preprint: [pdf]*Enumeration of highly balanced trees*, Ars Combinatoria 114 (2014), 15-32. Preprint: [pdf]*Graphs with maximal Hosoya index and minimal Merrifield-Simmons index*, Discrete Mathematics 329 (2014), 77-87; with Z. Zhu, C. Yuan and E. O. D. Andriantiana. Preprint: [pdf]*On the number of multi-base representations of an integer*, Proceedings of the 25th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Paris, June 16-20, 2014, pp. 229-240; with D. Krenn and D. Ralaivaosaona.*The number of compositions into powers of b*, Proceedings of the 25th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Paris, June 16-20, 2014, pp. 241-252; with D. Krenn.*Counting glycans revisited*, Journal of Mathematical Biology 69/4 (2014), 799-816; with S. Böcker. Preprint: [pdf]*Indistinguishable trees and graphs*, Graphs and Combinatorics 30/6 (2014), 1593-1605; with H. Wang. Preprint: [pdf]*A general asymptotic scheme for the analysis of partition statistics*, Combinatorics, Probability and Computing 23/6 (2014), 1057-1086; with P. J. Grabner and A. Knopfmacher. Preprint: [pdf]*Uniform spanning trees on Sierpinski graphs*, ALEA - Latin American Journal of Probability and Mathematical Statistics 11 (2014), 737-780; with M. Shinoda and E. Teufl. Preprint: [pdf]