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» Graph Classes Between Parity and Distance-hereditary Graphs
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COCOON
2009
Springer
14 years 2 months ago
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \ E1 such ...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
CCCG
2004
13 years 8 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
14 years 2 months ago
Random Tensors and Planted Cliques
The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
S. Charles Brubaker, Santosh Vempala
TCS
2010
13 years 5 months ago
A comprehensive analysis of degree based condition for Hamiltonian cycles
— Rahman and Kaykobad introduced a shortest distance based condition for finding the existence of Hamiltonian paths in graphs as follows: Let G be a connected graph with n vertic...
Md. Kamrul Hasan, Mohammad Kaykobad, Young-Koo Lee...
DAM
2008
109views more  DAM 2008»
13 years 7 months ago
Minimal comparability completions of arbitrary graphs
A transitive orientation of an undirected graph is an assignment of directions to its edges so that these directed edges represent a transitive relation between the vertices of th...
Pinar Heggernes, Federico Mancini, Charis Papadopo...