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JGT
2010
83views more  JGT 2010»
14 years 8 months ago
Forbidden subgraphs and the existence of a 2-factor
In 1996, Ota and Tokuda showed that a star-free graph with sufficiently high minimum degree admits a 2-factor. More recently it was shown that the minimum degree condition can be ...
Robert E. L. Aldred, Jun Fujisawa, Akira Saito
DM
2010
143views more  DM 2010»
14 years 10 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
IPPS
2002
IEEE
15 years 2 months ago
Distributed Spanner with Bounded Degree for Wireless Ad Hoc Networks
In this paper, we propose a new distributed algorithm that constructs a sparse spanner subgraph of the unit disk graph efficiently for wireless ad hoc networks. It maintains a li...
Yu Wang 0003, Xiang-Yang Li
JGT
2007
68views more  JGT 2007»
14 years 9 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
JDA
2010
122views more  JDA 2010»
14 years 4 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos