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» Counting the number of independent sets in chordal graphs
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JCT
2010
110views more  JCT 2010»
13 years 6 months ago
Pancyclicity of Hamiltonian and highly connected graphs
A graph G on n vertices is Hamiltonian if it contains a cycle of length n and pancyclic if it contains cycles of length for all 3 ≤ ≤ n. Write α(G) for the independence numbe...
Peter Keevash, Benny Sudakov
FCS
2009
13 years 5 months ago
Circuits as a Classifier for Small-World Network Models
The number and length distribution of circuits or loops in a graph or network give important insights into its key characteristics. We discuss the circuit properties of various sm...
Arno Leist, Kenneth A. Hawick
PODC
2011
ACM
12 years 10 months ago
MIS on trees
A maximal independent set on a graph is an inclusion-maximal set of mutually non-adjacent nodes. This basic symmetry breaking structure is vital for many distributed algorithms, w...
Christoph Lenzen, Roger Wattenhofer
INFOCOM
2009
IEEE
14 years 2 months ago
Delay Guarantees for Throughput-Optimal Wireless Link Scheduling
—We consider the question of obtaining tight delay guarantees for throughout-optimal link scheduling in arbitrary topology wireless ad-hoc networks. We consider two classes of sc...
Koushik Kar, Xiang Luo, Saswati Sarkar
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
13 years 11 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas