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JCT
2007
94views more  JCT 2007»
15 years 6 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
KIVS
2011
Springer
14 years 9 months ago
A Feasibility Check for Geographical Cluster Based Routing under Inaccurate Node Localization in Wireless Sensor Networks
Localized geographic single path routing along a wireless network graph requires exact location information about the network nodes to assure message delivery guarantees. Node loc...
Hannes Frey, Ranjith Pillay
DIMACS
1996
15 years 7 months ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
ARSCOM
2002
53views more  ARSCOM 2002»
15 years 6 months ago
Embedding Graphs Containing K5-Subdivisions
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-subdivision into a K3,3-subdivision if it is possible, or else we obtain a partit...
Andrei V. Gagarin, William Kocay
APPML
2007
101views more  APPML 2007»
15 years 6 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