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» Group connectivity of graphs with diameter at most 2
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ENDM
2002
91views more  ENDM 2002»
13 years 7 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
MFCS
2004
Springer
14 years 27 days ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
GD
2008
Springer
13 years 8 months ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
PPOPP
2012
ACM
12 years 3 months ago
Better speedups using simpler parallel programming for graph connectivity and biconnectivity
Speedups demonstrated for finding the biconnected components of a graph: 9x to 33x on the Explicit Multi-Threading (XMT) many-core computing platform relative to the best serial ...
James A. Edwards, Uzi Vishkin
DM
2008
76views more  DM 2008»
13 years 7 months ago
On s-hamiltonian-connected line graphs
A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton path (a path including every vertex of G); and G is s-hamiltonian-connected if the deleti...
Hong-Jian Lai, Yanting Liang, Yehong Shao