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» Diameter and connectivity of 3-arc graphs
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SIGMETRICS
2006
ACM
14 years 1 months ago
Robust network connectivity: when it's the big picture that matters
This work analyzes the connectivity of large diameter networks where every link has an independent probability p of failure. We give a (relatively simple) topological condition th...
Enoch Peserico, Larry Rudolph
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 7 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
MFCS
2004
Springer
14 years 27 days ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
DAM
2008
72views more  DAM 2008»
13 years 7 months ago
Diameter-sufficient conditions for a graph to be super-restricted connected
A vertex-cut X is said to be a restricted cut of a graph G if it is a vertex-cut such that no vertex u in G has all its neighbors in X. Clearly, each connected component of G - X ...
Camino Balbuena, Yuqing Lin, Mirka Miller
IWPEC
2010
Springer
13 years 5 months ago
On the Kernelization Complexity of Colorful Motifs
The Colorful Motif problem asks if, given a vertex-colored graph G, there exists a subset S of vertices of G such that the graph induced by G on S is connected and contains every c...
Abhimanyu M. Ambalath, Radheshyam Balasundaram, Ch...