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ARSCOM
2005
98views more  ARSCOM 2005»
14 years 9 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 4 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 9 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 9 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 3 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