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ENDM
2000
121views more  ENDM 2000»
14 years 9 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz
DM
2002
101views more  DM 2002»
14 years 9 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
RSA
2000
98views more  RSA 2000»
14 years 9 months ago
Degrees and choice numbers
The choice number ch(G) of a graph G = (V, E) is the minimum number k such that for every assignment of a list S(v) of at least k colors to each vertex v V , there is a proper ve...
Noga Alon
BC
1998
116views more  BC 1998»
14 years 9 months ago
A conceptual approach to the magical number 7
The traditional paradigm for studying the magical number is questioned and a new approach is sought in order to obtain a better conceptual understanding of this phenomenon. Buildin...
Willy Wong, Shuji Mori
MOC
1998
106views more  MOC 1998»
14 years 9 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan