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» The roots of the independence polynomial of a clawfree graph
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JCT
2007
64views more  JCT 2007»
13 years 4 months ago
The roots of the independence polynomial of a clawfree graph
Maria Chudnovsky, Paul D. Seymour
SIAMDM
2008
83views more  SIAMDM 2008»
13 years 4 months ago
Combinatorial Properties of a Rooted Graph Polynomial
For a rooted graph G, let EV (G; p) be the expected number of vertices reachable from the root when each edge has an independent probability p of operating successfully. We examine...
David Eisenstat, Gary Gordon, Amanda Redlich
TON
2012
11 years 7 months ago
Independent Directed Acyclic Graphs for Resilient Multipath Routing
—In order to achieve resilient multipath routing we introduce the concept of Independent Directed Acyclic Graphs (IDAGs) in this study. Link-independent (Node-independent) DAGs s...
Sangman Cho, Theodore Elhourani, Srinivasan Ramasu...
DAM
2007
107views more  DAM 2007»
13 years 4 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
ICALP
2009
Springer
14 years 5 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin