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ENDM
2007
104views more  ENDM 2007»
14 years 11 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink
ARSCOM
2004
104views more  ARSCOM 2004»
14 years 11 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
DAM
2008
85views more  DAM 2008»
14 years 11 months ago
The competition numbers of complete tripartite graphs
For a graph G, it is known to be a hard problem to compute the competition number k(G) of the graph G in general. In this paper, we give an explicit formula for the competition nu...
Suh-Ryung Kim, Yoshio Sano
JCO
2007
122views more  JCO 2007»
14 years 11 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