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» Cycle lengths in sparse graphs
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WAOA
2005
Springer
170views Algorithms» more  WAOA 2005»
15 years 3 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
95
Voted
CIAC
2003
Springer
145views Algorithms» more  CIAC 2003»
15 years 2 months ago
Additive Spanners for k-Chordal Graphs
Abstract. In this paper we show that every chordal graph with n vertices and m edges admits an additive 4-spanner with at most 2n−2 edges and an additive 3-spanner with at most O...
Victor Chepoi, Feodor F. Dragan, Chenyu Yan
COMGEO
2012
ACM
13 years 5 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 9 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
DM
2007
57views more  DM 2007»
14 years 9 months ago
Triangulated neighborhoods in even-hole-free graphs
An even-hole-free graph is a graph that does not contain, as an induced subgraph, a chordless cycle of even length. A graph is triangulated if it does not contain any chordless cy...
Murilo Vicente Gonçalves da Silva, Kristina...