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DM
1998
68views more  DM 1998»
15 years 3 months ago
Alternating cycles and trails in 2-edge-coloured complete multigraphs
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
Jørgen Bang-Jensen, Gregory Gutin
WEA
2005
Springer
98views Algorithms» more  WEA 2005»
15 years 9 months ago
Implementing Minimum Cycle Basis Algorithms
Abstract. In this paper we consider the problem of computing a minimum cycle basis of an undirected graph G = (V, E) with n vertices and m edges. We describe an efficient implement...
Kurt Mehlhorn, Dimitrios Michail
WG
2007
Springer
15 years 10 months ago
Minimum-Weight Cycle Covers and Their Approximability
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
IPL
2002
71views more  IPL 2002»
15 years 3 months ago
Pancyclicity of recursive circulant graphs
In this paper, we study the existence of cycles of all lengths in the recursive circulant graphs, and we show a necessary and sufficient condition for the graph being pancyclic an...
Toru Araki, Yukio Shibata
JCT
2010
110views more  JCT 2010»
15 years 2 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov