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RSA
2002
81views more  RSA 2002»
13 years 10 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
EJC
2008
13 years 10 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
RSA
2011
124views more  RSA 2011»
13 years 5 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
COMBINATORICA
2008
97views more  COMBINATORICA 2008»
13 years 10 months ago
Pfaffian labelings and signs of edge colorings
Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
Serguei Norine, Robin Thomas
TIT
1998
79views more  TIT 1998»
13 years 9 months ago
Greedy and Heuristic Algorithms for Codes and Colorings
Abstract— Many of the fundamental coding problems can be represented as graph problems. These problems are often intrinsically difficult and unsolved even if the code length is ...
Tuvi Etzion, Patric R. J. Östergård