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» Counting the number of independent sets in chordal graphs
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JCT
2010
110views more  JCT 2010»
15 years 4 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
15 years 3 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
14 years 9 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
16 years 23 days 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»
15 years 10 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