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ARSCOM
2005
98views more  ARSCOM 2005»
14 years 11 months ago
Supereulerian planar graphs
We investigate the supereulerian graph problems within planar graphs, and we prove that if a 2-edge-connected planar graph G is at most three edges short of having two edge-disjoi...
Hong-Jian Lai, Deying Li, Jingzhong Mao, Mingquan ...
CORR
2010
Springer
80views Education» more  CORR 2010»
14 years 6 months ago
Distributed Deterministic Edge Coloring using Bounded Neighborhood Independence
We study the edge-coloring problem in the message-passing model of distributed computing. This is one of the most fundamental problems in this area. Currently, the best-known dete...
Leonid Barenboim, Michael Elkin
DAM
2007
70views more  DAM 2007»
14 years 11 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur
DM
2008
127views more  DM 2008»
14 years 11 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
WG
2005
Springer
15 years 5 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller