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» A Bound on the Total Chromatic Number
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ICDCN
2011
Springer
12 years 11 months ago
Deterministic Dominating Set Construction in Networks with Bounded Degree
This paper considers the problem of calculating dominating sets in networks with bounded degree. In these networks, the maximal degree of any node is bounded by Δ, which is usuall...
Roy Friedman, Alex Kogan
WG
2010
Springer
13 years 6 months ago
Graphs with Large Obstacle Numbers
Motivated by questions in computer vision and sensor networks, Alpert et al. [3] introduced the following definitions. Given a graph G, an obstacle representation of G is a set of...
Padmini Mukkamala, János Pach, Deniz Sari&o...
ESA
1998
Springer
95views Algorithms» more  ESA 1998»
13 years 12 months ago
New Bounds for Oblivious Mesh Routing
We give two, new upper bounds for oblivious permutation routing on the mesh networks: Let N be the total number of processors in each mesh. One is an O(N0.75 ) algorithm on the tw...
Kazuo Iwama, Yahiko Kambayashi, Eiji Miyano
ENDM
2008
61views more  ENDM 2008»
13 years 7 months ago
Diameter and Curvature: Intriguing Analogies
We highlight intriguing analogies between the diameter of a polytope and the largest possible total curvature of the associated central path. We prove continuous analogues of the ...
Antoine Deza, Tamás Terlaky, Feng Xie, Yuri...
CORR
2011
Springer
170views Education» more  CORR 2011»
13 years 2 months ago
Better Bounds for Incremental Frequency Allocation in Bipartite Graphs
We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain nu...
Marek Chrobak, Lukasz Jez, Jiri Sgall