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JCT
2007
94views more  JCT 2007»
13 years 4 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
JCT
2007
85views more  JCT 2007»
13 years 4 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott
JCT
2007
108views more  JCT 2007»
13 years 4 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze
JCT
2007
64views more  JCT 2007»
13 years 4 months ago
Distance-regular Cayley graphs on dihedral groups
Stefko Miklavic, Primoz Potocnik
JCT
2007
107views more  JCT 2007»
13 years 4 months ago
Vertex-minors, monadic second-order logic, and a conjecture by Seese
We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
Bruno Courcelle, Sang-il Oum
JCT
2007
68views more  JCT 2007»
13 years 4 months ago
Testing branch-width
Sang-il Oum, Paul D. Seymour
JCT
2007
67views more  JCT 2007»
13 years 4 months ago
Extreme eigenvalues of nonregular graphs
Sebastian M. Cioaba, David A. Gregory, Vladimir Ni...
JCT
2007
84views more  JCT 2007»
13 years 4 months ago
Universal graphs with a forbidden subtree
Gregory L. Cherlin, Saharon Shelah
JCT
2007
93views more  JCT 2007»
13 years 4 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
JCT
2007
62views more  JCT 2007»
13 years 4 months ago
Integer and fractional packings of hypergraphs
Vojtech Rödl, Mathias Schacht, Mark H. Sigger...