The maximum number of perfect matchings in graphs with a given degree sequence

From MaRDI portal
Publication:1010667

zbMath1183.05064arXiv0803.2578MaRDI QIDQ1010667

Noga Alon, Shmuel Friedland

Publication date: 7 April 2009

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2578




Related Items (26)

A general law of large permanentAnagram-Free Colourings of GraphsUpper bounds on the numbers of 1-factors and 1-factorizations of hypergraphsColorings with few colors: counting, enumeration and combinatorial boundsExtremal Graphs With a Given Number of Perfect MatchingsResults and questions on matchings in abelian groups and vector subspaces of fieldsAsymptotics of the upper matching conjectureThe graphs of stably matchable pairsAlmost all optimally coloured complete graphs contain a rainbow Hamilton pathConnected cubic graphs with the maximum number of perfect matchingsEntropy bounds for perfect matchings and Hamiltonian cyclesPermanents of multidimensional matrices: Properties and applicationsOn the size and structure of graphs with a constant number of 1-factorsAsymptotics for Shamir's problemEnumerating the edge-colourings and total colourings of a regular graphUnnamed ItemNumber of 1-factorizations of regular high-degree graphsStatistical Matching TheoryUpper bounds on the number of perfect matchings and directed 2-factors in graphs with given number of vertices and edgesOn the numbers of 1-factors and 1-factorizations of hypergraphsGraphs with the fewest matchingsGraphs with the maximum or minimum number of 1-factorsOn the expected number of perfect matchings in cubic planar graphsTight bounds on the coefficients of partition functions via stabilityAn upper bound on the number of Steiner triple systemsOn the number of 1-factorizations of a complete graph




This page was built for publication: The maximum number of perfect matchings in graphs with a given degree sequence