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» (k, )-Distance-Hereditary Graphs
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SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 10 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»
13 years 8 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»
13 years 8 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»
13 years 8 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»
13 years 8 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