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» The independence number in graphs of maximum degree three
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JCT
2010
110views more  JCT 2010»
14 years 8 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
GC
2008
Springer
14 years 9 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati
TIT
2008
119views more  TIT 2008»
14 years 9 months ago
Throughput and Fairness Guarantees Through Maximal Scheduling in Wireless Networks
We address the question of providing throughput guarantees through distributed scheduling, which has remained an open problem for some time. We consider a simple distributed sched...
Prasanna Chaporkar, Koushik Kar, Xiang Luo, Saswat...
ARSCOM
2007
82views more  ARSCOM 2007»
14 years 9 months ago
Extremal properties of (1, f)-odd factors in graphs
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
Qinglin Roger Yu, Zhao Zhang
WG
2004
Springer
15 years 3 months ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki