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» Proof of a Chromatic Polynomial Conjecture
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ICFP
2003
ACM
14 years 4 months ago
Representing reductions of NP-complete problems in logical frameworks: a case study
Under the widely believed conjecture P=NP, NP-complete problems cannot be solved exactly using efficient polynomial time algorithms. Furthermore, any instance of a NP-complete pro...
Carsten Schürmann, Jatin Shah
CPC
2004
66views more  CPC 2004»
13 years 4 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
JGT
2010
103views more  JGT 2010»
13 years 3 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
DM
2002
93views more  DM 2002»
13 years 4 months ago
A proof of the q, t-Catalan positivity conjecture
We present here a proof that a certain rational function Cn(q, t) which has come to be known as the "q, t-Catalan" is in fact a polynomial with positive integer coeffici...
Adriano M. Garsia, James Haglund