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» A Note on Cycle Lengths in Graphs
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SIROCCO
2010
15 years 1 months ago
Multipath Spanners
Abstract. This paper concerns graph spanners that approximate multipaths between pair of vertices of an undirected graphs with n vertices. Classically, a spanner H of stretch s for...
Cyril Gavoille, Quentin Godfroy, Laurent Viennot
FCT
2005
Springer
15 years 5 months ago
Exact Algorithms for Graph Homomorphisms
Graph homomorphism, also called H-coloring, is a natural generalization of graph coloring: There is a homomorphism from a graph G to a complete graph on k vertices if and only if ...
Fedor V. Fomin, Pinar Heggernes, Dieter Kratsch
COMBINATORICA
2008
88views more  COMBINATORICA 2008»
14 years 11 months ago
Geometric graphs with no two parallel edges
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
Rom Pinchasi
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
14 years 11 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
ARSCOM
2007
77views more  ARSCOM 2007»
14 years 11 months ago
Extremal bipartite graphs with high girth
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...
Camino Balbuena, Pedro García-Vázque...