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SPAA
2005
ACM
14 years 2 months ago
The expansion and mixing time of skip graphs with applications
We prove that with high probability a skip graph contains a 4-regular expander as a subgraph, and estimate the quality of the expansion via simulations. As a consequence skip grap...
James Aspnes, Udi Wieder
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 9 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
DM
2008
114views more  DM 2008»
13 years 9 months ago
Subdivisions of graphs: A generalization of paths and cycles
One of the basic results in graph theory is Dirac's theorem, that every graph of order n 3 and minimum degree n/2 is Hamiltonian. This may be restated as: if a graph of ord...
Ch. Sobhan Babu, Ajit A. Diwan
EOR
2008
136views more  EOR 2008»
13 years 9 months ago
Complexity and exact algorithms for vertex multicut in interval and bounded treewidth graphs
Multicut is a fundamental network communication and connectivity problem. It is defined as: given an undirected graph and a collection of pairs of terminal vertices, find a minimu...
Jiong Guo, Falk Hüffner, Erhan Kenar, Rolf Ni...
GC
2007
Springer
13 years 8 months ago
An s -Hamiltonian Line Graph Problem
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Zhi-Hong Chen, Hong-Jian Lai, Wai-Chee Shiu, Deyin...