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» (k, )-Distance-Hereditary Graphs
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SODA
2008
ACM
70views Algorithms» more  SODA 2008»
15 years 1 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
JCT
2007
78views more  JCT 2007»
14 years 11 months ago
Projective-planar signed graphs and tangled signed graphs
A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex...
Daniel C. Slilaty
DM
2008
111views more  DM 2008»
14 years 12 months ago
Planarity of iterated line graphs
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either in nite or it is at most 4....
Mohammad Ghebleh, Mahdad Khatirinejad
DM
2008
69views more  DM 2008»
14 years 12 months ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
SIAMDM
2008
101views more  SIAMDM 2008»
14 years 11 months ago
Hamilton Cycles in Random Lifts of Directed Graphs
An n-lift of a digraph K, is a digraph with vertex set V (K)
Prasad Chebolu, Alan M. Frieze