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» Bounds of Graph Characteristics
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JCT
2006
110views more  JCT 2006»
13 years 8 months ago
Branch-width, parse trees, and monadic second-order logic for matroids
Abstract. We introduce "matroid parse trees" which, using only a limited amount of information at each node, can build up the vector representations of matroids of bounde...
Petr Hlinený
RSA
2011
121views more  RSA 2011»
13 years 3 months ago
Ramsey games with giants
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
Tom Bohman, Alan M. Frieze, Michael Krivelevich, P...
JCT
2010
79views more  JCT 2010»
13 years 6 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender
ICALP
2009
Springer
14 years 8 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
FOCS
2009
IEEE
14 years 3 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi