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» Powers of cycles, powers of paths, and distance graphs
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TCS
2010
13 years 4 months ago
A comprehensive analysis of degree based condition for Hamiltonian cycles
— Rahman and Kaykobad introduced a shortest distance based condition for finding the existence of Hamiltonian paths in graphs as follows: Let G be a connected graph with n vertic...
Md. Kamrul Hasan, Mohammad Kaykobad, Young-Koo Lee...
DM
1998
83views more  DM 1998»
13 years 5 months ago
The basis number of the powers of the complete graph
A basis of the cycle space C(G) of a graph G is h-fold if each edge of G occurs in at most h cycles of the basis. The basis number b(G) of G is the least integer h such that C(G) ...
Salar Y. Alsardary, Jerzy Wojciechowski
IM
2007
13 years 5 months ago
Real Number Labelings for Paths and Cycles
The problem of radio channel assignments with multiple levels of interference depending on distance can be modeled using graph theory. The authors previously introduced a model of...
Jerrold R. Griggs, Xiaohua Teresa Jin
SIAMDM
2008
113views more  SIAMDM 2008»
13 years 5 months ago
Power Domination in Product Graphs
The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dom...
Paul Dorbec, Michel Mollard, Sandi Klavzar, Simon ...
VTC
2006
IEEE
129views Communications» more  VTC 2006»
13 years 11 months ago
A Framework for Automatic Clustering of Parametric MIMO Channel Data Including Path Powers
— We present a solution to the problem of identifying clusters from MIMO measurement data in a data window, with a minimum of user interaction. Conventionally, visual inspection ...
Nicolai Czink, Pierluigi Cera, Jari Salo, Ernst Bo...