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ESA
2001
Springer
132views Algorithms» more  ESA 2001»
13 years 9 months ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito
GC
2010
Springer
13 years 3 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
GC
2010
Springer
13 years 2 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 2 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
TCS
2010
13 years 3 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...