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» A Note on Cycle Lengths in Graphs
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COCOON
2007
Springer
14 years 1 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
DM
2006
71views more  DM 2006»
13 years 7 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
14 years 1 months ago
On Approximating Restricted Cycle Covers
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set...
Bodo Manthey
COMGEO
2012
ACM
12 years 3 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
DM
2007
103views more  DM 2007»
13 years 7 months ago
Minimum cycle bases of graphs on surfaces
In this paper we study the cycle base structures of embedded graphs on surfaces. We first give a sufficient and necessary condition for a set of facial cycles to be contained in ...
Han Ren, Mo Deng