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JSYML
2010
95views more  JSYML 2010»
14 years 11 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 10 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
SOFSEM
2005
Springer
15 years 10 months ago
Discovering Treewidth
Abstract. Treewidth is a graph parameter with several interesting theoretical and practical applications. This survey reviews algorithmic results on determining the treewidth of a ...
Hans L. Bodlaender
DAM
2007
141views more  DAM 2007»
15 years 4 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
CORR
2008
Springer
174views Education» more  CORR 2008»
15 years 4 months ago
Bounded Budget Connection (BBC) Games or How to make friends and influence people, on a budget
Motivated by applications in social networks, peer-to-peer and overlay networks, we define and study the Bounded Budget Connection (BBC) game - we have a collection of n players o...
Nikolaos Laoutaris, Laura J. Poplawski, Rajmohan R...