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MLQ
1998
126views more  MLQ 1998»
15 years 2 months ago
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
William I. Gasarch, Jeffry L. Hirst
RSA
2000
98views more  RSA 2000»
15 years 2 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
EJC
2010
15 years 2 months ago
The edge-flipping group of a graph
Let X = (V, E) be a finite simple connected graph with n vertices and m edges. A configuration is an assignment of one of two colors, black or white, to each edge of X. A move app...
Hau-wen Huang, Chih-wen Weng
124
Voted
DAM
2008
134views more  DAM 2008»
15 years 2 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...
CP
2009
Springer
16 years 3 months ago
On the Structure of Industrial SAT Instances
Abstract. During this decade, it has been observed that many realworld graphs, like the web and some social and metabolic networks, have a scale-free structure. These graphs are ch...
Carlos Ansótegui, Jordi Levy, Maria Luisa B...