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DM
2008
84views more  DM 2008»
13 years 10 months ago
Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
Heather Jordon, Joy Morris
IPL
2007
74views more  IPL 2007»
13 years 9 months ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 9 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
ESA
2005
Springer
95views Algorithms» more  ESA 2005»
14 years 3 months ago
Finding Shortest Non-separating and Non-contractible Cycles for Topologically Embedded Graphs
We present an algorithm for finding shortest surface non-separating cycles in graphs embedded on surfaces in O(g3/2 V 3/2 log V + g5/2 V 1/2 ) time, where V is the number of vert...
Sergio Cabello, Bojan Mohar
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
12 years 11 days ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh