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» Parameterizing by the Number of Numbers
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ENDM
2000
121views more  ENDM 2000»
13 years 10 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»
13 years 10 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»
13 years 10 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»
13 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»
13 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