Prime factors of binomial coefficients and related problems
Prime graph components of finite almost simple groups
Prime ideals in the lattice of additive induced-hereditary graph properties
An additive induced-hereditary property of graphs is any class of finite simple graphs which is closed under isomorphisms, disjoint unions and induced subgraphs. The set of all additive induced-hereditary properties of graphs, partially ordered by set inclusion, forms a completely distributive lattice. We introduce the notion of the join-decomposability number of a property and then we prove that the prime ideals of the lattice of all additive induced-hereditary properties are divided into two groups,...
Primitive spatial graphs and graph minors.
Primitive words and spectral spaces.
Principal eigenvectors of irregular graphs.
Principes de la méthode de M. Arnoux concernant l'étude des espaces arithmétiques hypermagiques
Příspěvek k teorii kombinací
Příspěvek k theorii podřízených determinantů
Probabilistic proofs of hook length formulas involving trees.
Probabilistic reconstruction from subgraphs
Probabilities as values of modular forms and continued fractions.
Probability measures corresponding to Aval numbers
We describe the class of probability measures whose moments are given in terms of the Aval numbers. They are expressed as the multiplicative free convolution of measures corresponding to the ballot numbers .
Probability that an element of a finite group has a square root
Let G be a finite group of even order. We give some bounds for the probability p(G) that a randomly chosen element in G has a square root. In particular, we prove that p(G) ≤ 1 - ⌊√|G|⌋/|G|. Moreover, we show that if the Sylow 2-subgroup of G is not a proper normal elementary abelian subgroup of G, then p(G) ≤ 1 - 1/√|G|. Both of these bounds are best possible upper bounds for p(G), depending only on the order of G.
Problem presented at the workshop in Krynica 2004
Problemas aditivos y grafos de Cayley.
Problemas combinatorios sobre bases aditivas.
Problemas da teoria dos grafos e a sua relação com os problemas da cobertura e da partição de um conjunto
Problème de la bipartition minimale d'un graphe
Problèmes ouverts. Représentation graphique d'un graphe