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» Exact Elimination of Cycles in Graphs
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PDP
2007
IEEE
14 years 13 days ago
Parallel-External Computation of the Cycle Structure of Invertible Cryptographic Functions
We present an algorithm to compute the cycle structure of large directed graphs where each node has exactly one outgoing edge. Such graphs appear as state diagrams of finite stat...
Andreas Beckmann, Jorg Keller
JGT
2007
81views more  JGT 2007»
13 years 6 months ago
Independent dominating sets and hamiltonian cycles
A graph is uniquely hamiltonian if it contains exactly one hamiltonian cycle. In this note we prove that there are no r-regular uniquely hamiltonian graphs when r > 22. This im...
Penny E. Haxell, Ben Seamone, Jacques Verstraë...
STACS
2007
Springer
14 years 8 days ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
ARSCOM
2004
73views more  ARSCOM 2004»
13 years 6 months ago
2-Factors in Hamiltonian Graphs
We show that every hamiltonian claw-free graph with a vertex x of degree d(x) 7 has a 2-factor consisting of exactly two cycles.
Florian Pfender
CPM
2005
Springer
116views Combinatorics» more  CPM 2005»
13 years 11 months ago
Exact and Approximation Algorithms for DNA Tag Set Design
In this paper we propose new solution methods for designing tag sets for use in universal DNA arrays. First, we give integer linear programming formulations for two previous formal...
Ion I. Mandoiu, Dragos Trinca