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» On Bounds for the k-Partitioning of Graphs
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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
15 years 7 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
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
ARSCOM
2008
103views more  ARSCOM 2008»
14 years 10 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
DM
2006
92views more  DM 2006»
14 years 10 months ago
Sums of powers of the degrees of a graph
For a graph G and k a real number, we consider the sum of the k-th powers of the degrees of the vertices of G. We present some general bounds on this sum for various values of k. ...
Sebastian M. Cioaba
CORR
2008
Springer
112views Education» more  CORR 2008»
14 years 10 months ago
Compact Labelings For Efficient First-Order Model-Checking
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for check...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...