Maximum subsets of with no solutions to .
Mean value for the matching and dominating polynomial
The mean value of the matching polynomial is computed in the family of all labeled graphs with n vertices. We introduce the dominating polynomial of a graph whose coefficients enumerate the dominating sets for a graph and study some properties of the polynomial. The mean value of this polynomial is determined in a certain special family of bipartite digraphs.
Mean Value Theorems in q-calculus
Meanders and Motzkin words.
Measures of sum-free intersecting families.
Medial quasigroups of prime square order
We prove that, for any prime , there are precisely medial quasigroups of order , up to isomorphism.
Mediations on the product rule.
Meet and join within the lattice of set partitions.
Mellin's Formula and Some Combinatorial Identities.
Mémoire sur les combinaisons régulières et leurs applications
Mesh patterns and the expansion of permutation statistics as sums of permutation patterns.
Meta-Fibonacci sequences, binary trees and extremal compact codes.
Methode der periodischen Zahlen und Doppelpartition.
Mince zajímají nejen numismatiky
V článku představíme dva druhy úloh týkajících se platby mincemi, které souvisejí s optimalitou počtu použitých mincí. V případě problému platby (říká se také rozměňování — anglicky change making problem), tj. skládání částky z mincí bez možnosti vracení, jsou úlohy spojené s optimalitou dobře prozkoumané. Analogické úlohy zformulujeme pro směnu, tj. skládání částky z mincí s možností vracení. Zde zůstává naopak řada problémů otevřená.
Minimal -complete partitions.
Minimal transitive products of transpositions---the reconstruction of a proof of A. Hurwitz.
Minimale Gitterwege mit Nebenbedingungen.
Minimally intersecting set partitions of type B.
Mixed sums of squares and triangular numbers
Mock modular forms and singular combinatorial series
A celebrated result of Bringmann and Ono shows that the combinatorial rank generating function exhibits automorphic properties after being completed by the addition of a non-holomorphic integral. Since then, automorphic properties of various related combinatorial families have been studied. Here, extending work of Andrews and Bringmann, we study general infinite families of combinatorial q-series pertaining to k-marked Durfee symbols, in which we allow additional singularities. We show that these...