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» Packing Cycles in Graphs
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ENDM
2007
104views more  ENDM 2007»
14 years 9 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
ICALP
1994
Springer
15 years 1 months ago
Finding Even Cycles Even Faster
We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k 2, there is an O(V 2) time algorithm that decide...
Raphael Yuster, Uri Zwick
DM
2007
116views more  DM 2007»
14 years 9 months ago
The Ramsey numbers for a cycle of length six or seven versus a clique of order seven
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
T. C. Edwin Cheng, Yaojun Chen, Yunqing Zhang, C. ...
DM
2007
135views more  DM 2007»
14 years 9 months ago
Heavy fans, cycles and paths in weighted graphs of large connectivity
A set of paths joining a vertex y and a vertex set L is called (y, L)-fan if any two of the paths have only y in common, and its width is the number of paths forming it. In weight...
Jun Fujisawa
JAIR
1998
92views more  JAIR 1998»
14 years 9 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson