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» A Note on Cycle Lengths in Graphs
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COCOON
2007
Springer
15 years 5 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»
14 years 11 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»
15 years 5 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
13 years 7 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»
14 years 11 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