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ARSCOM
2008
192views more  ARSCOM 2008»
14 years 10 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
CORR
2006
Springer
101views Education» more  CORR 2006»
14 years 10 months ago
Context-Sensitive Languages, Rational Graphs and Determinism
We investigate families of infinite automata for context-sensitive languages. An infinite automaton is an infinite labeled graph with two sets of initial and final vertices. Its la...
Arnaud Carayol, Antoine Meyer
INFORMATICALT
2006
104views more  INFORMATICALT 2006»
14 years 10 months ago
Algorithms for Inner Magic and Inner Antimagic Labelings of Some Planar Graphs
In this work labeling of planar graphs is taken up which involves labeling the p vertices, the q edges and the f internal faces such that the weights of the faces form an arithmeti...
Auparajita Krishnaa, Manohar Singh Dulawat
TVCG
2008
145views more  TVCG 2008»
14 years 9 months ago
Geometry-Based Edge Clustering for Graph Visualization
Graphs have been widely used to model relationships among data. For large graphs, excessive edge crossings make the display visually cluttered and thus difficult to explore. In thi...
Weiwei Cui, Hong Zhou, Huamin Qu, Pak Chung Wong, ...
COMBINATORICA
2007
119views more  COMBINATORICA 2007»
14 years 9 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...