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EJC
2008
13 years 9 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
CPC
2011
199views Education» more  CPC 2011»
13 years 4 months ago
Sub-Gaussian Tails for the Number of Triangles in G( n, p)
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates f...
Guy Wolfovitz
WG
2000
Springer
14 years 21 days 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 9 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 9 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