Identities derived from noncrossing partitions of type .
Identities for the number of standard Young tableaux in some -hooks.
Implications of Spivey's Bell number formula.
Improved bounds on the number of ternary square-free words.
Improved bounds on the number of ways of expressing as a binomial coefficient.
Increasing integer sequences and Goldbach's conjecture
Increasing integer sequences include many instances of interesting sequences and combinatorial structures, ranging from tournaments to addition chains, from permutations to sequences having the Goldbach property that any integer greater than 1 can be obtained as the sum of two elements in the sequence. The paper introduces and compares several of these classes of sequences, discussing recurrence relations, enumerative problems and questions concerning shortest sequences.
Increasing subsequences and the classical groups.
Independent sets on path-schemes.
Inequalities for a Pair of Maps S x S ... S with S a Finite Set.
Integer sequences and matrices over finite fields.
Inteprétations combinatoires des nombres d#Euler et de Genocchi
Introduction aux polyèdres en combinatoire d'après E. Ehrhart et R. Stanley
Inverses of words.
Inversion of generating functions using determinants.
Inversion of integral series enumerating planar trees.
Irreducible compositions and the first return to the origin of a random walk.
Isomerism as Manifestation of Intrinsic Symmetry of Molecules: Lunn–Senior’s Theory
This article presents the principal results of the doctoral thesis “Isomerism as internal symmetry of molecules” by Valentin Vankov Iliev (Institute of Mathematics and Informatics), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 15 December, 2008.This paper is an extended review of our doctoral thesis “Isomerism as Intrinsic Symmetry of Molecules” in which we present, continue, generalize, and trace out Lunn–Senior’s theory of isomerism...