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» 2-Factors in Hamiltonian Graphs
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JGT
2010
81views more  JGT 2010»
13 years 5 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
DM
1999
109views more  DM 1999»
13 years 7 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 2 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...
DM
2002
84views more  DM 2002»
13 years 7 months ago
On incidence coloring for some cubic graphs
In 1993, Brualdi and Massey conjectured that every graph can be incidence colored with + 2 colors, where is the maximum degree of a graph. Although this conjecture was solved in ...
Wai Chee Shiu, Peter Che Bor Lam, Dong-Ling Chen
GC
2007
Springer
13 years 7 months ago
An s -Hamiltonian Line Graph Problem
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Zhi-Hong Chen, Hong-Jian Lai, Wai-Chee Shiu, Deyin...