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» Vertices of given degree in series-parallel graphs
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STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 8 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
DM
2006
122views more  DM 2006»
13 years 7 months ago
Labeling trees with a condition at distance two
An L(h, k)-labeling of a graph G is an integer labeling of vertices of G, such that adjacent vertices have labels which differ by at least h, and vertices at distance two have lab...
Tiziana Calamoneri, Andrzej Pelc, Rossella Petresc...
SIROCCO
2000
13 years 9 months ago
Lower bounds for (weak) sense of direction
A graph with n vertices and maximum degree cannot be given weak sense of direction using less than colours. It is known that n colours are always sufficient, but it has been conje...
Paolo Boldi, Sebastiano Vigna
ICALP
2011
Springer
12 years 11 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali
JGAA
2007
142views more  JGAA 2007»
13 years 7 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr