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» Edge-dominating cycles in graphs
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JCO
2007
122views more  JCO 2007»
13 years 10 months ago
Packing 5-cycles into balanced complete m -partite graphs for odd m
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...
Ming-Hway Huang, Chin-Mei Fu, Hung-Lin Fu
JGT
2007
99views more  JGT 2007»
13 years 10 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
IPL
2002
95views more  IPL 2002»
13 years 9 months ago
On a game in directed graphs
Inspired by recent algorithms for electing a leader in a distributed system, we study the following game in a directed graph: each vertex selects one of its outgoing arcs (if any)...
Alan J. Hoffman, Kate Jenkins, Tim Roughgarden
DM
2006
101views more  DM 2006»
13 years 10 months ago
Cycle double covers and spanning minors II
In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spann...
Roland Häggkvist, Klas Markström
FCS
2006
13 years 11 months ago
Negative-Weight Cycle Algorithms
The problem of finding a negative cycle in a weighted, directed graph is discussed here. First the algorithm for printing out a negative cycle reachable from the source s, with th...
Xiuzhen Huang