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STOC
2007
ACM
239views Algorithms» more  STOC 2007»
15 years 9 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
JGT
2010
127views more  JGT 2010»
14 years 8 months ago
On the minimum degree of minimal Ramsey graphs
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erd˝os, and Lov´asz. We determine the corresponding graph parameter fo...
Tibor Szabó, Philipp Zumstein, Stefanie Z&u...
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FOCS
2006
IEEE
15 years 3 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
ENDM
2002
86views more  ENDM 2002»
14 years 9 months ago
Light Paths in Large Polyhedral Maps with Prescribed Minimum Degree
Let k be an integer and M be a closed 2-manifold with Euler characteristic (M) 0. We prove that each polyhedral map G on M with minimum degree and large number of vertices conta...
Stanislav Jendrol, Heinz-Jürgen Voss
WEA
2007
Springer
158views Algorithms» more  WEA 2007»
15 years 3 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers