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» On pancyclism in hamiltonian graphs
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DAM
1998
75views more  DAM 1998»
14 years 11 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
CORR
2011
Springer
138views Education» more  CORR 2011»
14 years 6 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»
14 years 11 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
JAIR
1998
92views more  JAIR 1998»
14 years 11 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
DM
2011
223views Education» more  DM 2011»
14 years 6 months ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski