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ENDM
2006
73views more  ENDM 2006»
13 years 7 months ago
Hypohamiltonian Snarks with Cyclic Connectivity 5 and 6
A graph is hypohamiltonian if it is not hamiltonian but every vertex-deleted subgraph is. In this paper we study hypohamiltonian snarks
Edita Mácajová, Martin Skoviera
APPML
2007
101views more  APPML 2007»
13 years 7 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
ARSCOM
2004
86views more  ARSCOM 2004»
13 years 7 months ago
New Conditions for k-ordered Hamiltonian Graphs
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
Guantao Chen, Ronald J. Gould, Florian Pfender
DM
2008
86views more  DM 2008»
13 years 7 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
JCT
2010
110views more  JCT 2010»
13 years 5 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov