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» Cycle lengths in sparse graphs
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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
CIAC
2003
Springer
145views Algorithms» more  CIAC 2003»
15 years 5 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 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
DM
2007
57views more  DM 2007»
14 years 11 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...