Jun 26, 2022 · Abstract:We enumerate factorisations of the complete graph into spanning regular graphs in several cases, including when the degrees of all ...
We enumerate factorisations of the complete graph into spanning regular graphs in several cases, including when the degrees of all the factors except for ...
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Jun 26, 2022 · Abstract. We enumerate factorisations of the complete graph into spanning regular graphs in several cases, including when the degrees of all ...
May 1, 2023 · We enumerate factorisations of the complete graph into spanning regular graphs in several cases, including when the degrees of all the factors ...
A k-factor of a graph is a spanning k-regular subgraph, and a k-factorization partitions the edges of the graph into disjoint k-factors. A graph G is said to be ...
Factorisation of the complete graph into spanning regular factors
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We state a sufficient condition for the square of a locally finite graph to contain a Hamilton circle, extending a result of Harary and Schwenk about finite ...
Definition. Given a set of factors F, an F−Factorisation of a graph G is a decomposition of the edges of G into copies of factors F ∈ F. Peter Danziger (RU).
Abstract. A 1-factorization F of a complete graph K2n is said to be G-regular, or regular under G, if G is an automorphism group of F acting sharply.
A k-factor of a graph G is a k-regular spanning subgraph of G. So perfect ... A 1-factorisation of the complete graph K2m can be used to schedule the ...
Let each factor contain only one egde. Problem: Determine the minimum number of edge-disjoint spanning forests into which G can be decomposed.