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COMBINATORICA
1998
77views more  COMBINATORICA 1998»
13 years 7 months ago
A Bound on the Total Chromatic Number
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
Michael Molloy, Bruce A. Reed
EJC
2008
13 years 7 months ago
The Ramsey numbers for stars of even order versus a wheel of order nine
For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest positive integer n such that for any graph G of order n, either G contains G1 or the complement of G co...
Yunqing Zhang, Yaojun Chen, Kemin Zhang
WG
2000
Springer
13 years 11 months ago
Networks with Small Stretch Number
: In a previous work, the authors introduced the class of graphs with bounded induced distance of order k, (BID(k) for short) to model non-reliable interconnection networks. A netw...
Serafino Cicerone, Gabriele Di Stefano
EJC
2008
13 years 7 months ago
Eriksson's numbers game and finite Coxeter groups
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to i...
Robert G. Donnelly
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 7 months ago
Positive circuits and maximal number of fixed points in discrete dynamical systems
We consider a product X of n finite intervals of integers, a map F from X to itself, the asynchronous state transition graph (F) on X that Thomas proposed as a model for the dynam...
Adrien Richard