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DAM
2002
76views more  DAM 2002»
15 years 6 months ago
Edge-pancyclicity of coupled graphs
The coupled graph c(G) of a plane graph G is the graph de
Ko-Wei Lih, Zengmin Song, Wei-Fan Wang, Kemin Zhan...
STOC
2009
ACM
139views Algorithms» more  STOC 2009»
16 years 7 months ago
Online and stochastic survivable network design
Consider the edge-connectivity survivable network design problem: given a graph G = (V, E) with edge-costs, and edgeconnectivity requirements rij Z0 for every pair of vertices i,...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
CORR
2010
Springer
59views Education» more  CORR 2010»
15 years 6 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
COMBINATORICS
1999
95views more  COMBINATORICS 1999»
15 years 6 months ago
Maximum Degree Growth of the Iterated Line Graph
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
Stephen G. Hartke, Aparna W. Higgins
JCT
2011
71views more  JCT 2011»
15 years 1 months ago
Pseudograph associahedra
Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper defines and constructs graph associah...
Michael Carr, Satyan L. Devadoss, Stefan Forcey