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» Diameter and connectivity of 3-arc graphs
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SIGMETRICS
2006
ACM
15 years 5 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»
14 years 11 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
15 years 5 months 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»
14 years 11 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
14 years 9 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...