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COMPGEOM
2003
ACM
14 years 3 months ago
Euclidean bounded-degree spanning tree ratios
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
Timothy M. Chan
FGCN
2008
IEEE
116views Communications» more  FGCN 2008»
14 years 4 months ago
Routing in Degree-Constrained FSO Mesh Networks
This paper addresses the routing problem in packet switching free-space optical (FSO) mesh networks. FSO mesh networks are emerging as broadband communication networks because of ...
Ziping Hu, Pramode K. Verma, James J. Sluss Jr.
JCT
2006
93views more  JCT 2006»
13 years 10 months ago
On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
Erdos posed the problem of finding conditions on a graph G that imply t(G) = b(G), where t(G) is the largest number of edges in a triangle-free subgraph and b(G) is the largest nu...
József Balogh, Peter Keevash, Benny Sudakov
PROPERTYTESTING
2010
13 years 8 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
AML
2006
76views more  AML 2006»
13 years 10 months ago
There is no ordering on the classes in the generalized high/low hierarchies
We prove that the existential theory of the Turing degrees, in the language with Turing reduction, 0, and unary relations for the classes in the generalized high/low hierarchy, is ...
Antonio Montalbán