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» Two Results on Real Zeros of Chromatic Polynomials
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86
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CPC
2004
66views more  CPC 2004»
14 years 10 months ago
Two Results on Real Zeros of Chromatic Polynomials
This note presents two results on real zeros of chromatic polynomials. The first result states that if G is a graph containing a q-tree as a spanning subgraph, then the chromatic ...
Feng Ming Dong, Khee Meng Koh
94
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
96
Voted
CPC
2007
88views more  CPC 2007»
14 years 11 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
83
Voted
EJC
2000
14 years 10 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund
109
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EJC
2011
14 years 2 months ago
Two enumerative results on cycles of permutations
Answering a question of B´ona, it is shown that for n ≥ 2 the probability that 1 and 2 are in the same cycle of a product of two n-cycles on the set {1, 2, . . . , n} is 1/2 if...
Richard P. Stanley