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» Splitter Theorems for Cubic Graphs
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69
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CPC
2006
84views more  CPC 2006»
14 years 10 months ago
Splitter Theorems for Cubic Graphs
Let ;k g be the class of k-connected cubic graphs of girth at least g. For several choices of k and g, we determine a set Ok g of graph operations, for which, if G and H are graph...
Guoli Ding, Jinko Kanno
74
Voted
MSS
2008
IEEE
88views Hardware» more  MSS 2008»
14 years 10 months ago
Cubical token systems
The paper deals with combinatorial and stochastic structures of cubical token systems. A cubical token system is an instance of a token system, which in turn is an instance of a t...
Sergei Ovchinnikov
83
Voted
ARSCOM
2004
104views more  ARSCOM 2004»
14 years 10 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
90
Voted
JCT
2007
94views more  JCT 2007»
14 years 10 months ago
A zero-free interval for flow polynomials of cubic graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. D.R. Woodall has shown that, if G is a plane triangulation, then the only zeros of P(G,t) in (−∞...
Bill Jackson
CPC
2007
88views more  CPC 2007»
14 years 10 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson