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» Bounds of Graph Characteristics
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SIAMJO
2010
110views more  SIAMJO 2010»
14 years 10 months ago
Estimating Bounds for Quadratic Assignment Problems Associated with Hamming and Manhattan Distance Matrices Based on Semidefinit
Quadratic assignment problems (QAPs) with a Hamming distance matrix for a hypercube or a Manhattan distance matrix for a rectangular grid arise frequently from communications and ...
Hans D. Mittelmann, Jiming Peng
ICALP
2011
Springer
14 years 6 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
104
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STOC
2004
ACM
131views Algorithms» more  STOC 2004»
16 years 3 months ago
(Almost) tight bounds and existence theorems for confluent flows
A flow is said to be confluent if at any node all the flow leaves along a single edge. Given a directed graph G with k sinks and non-negative demands on all the nodes of G, we con...
Jiangzhuo Chen, Robert D. Kleinberg, Lászl&...
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
15 years 9 months ago
Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks
Abstract. Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless...
Minming Li, Peng-Jun Wan, F. Frances Yao
CIAC
2010
Springer
262views Algorithms» more  CIAC 2010»
15 years 6 months ago
Graph unique-maximum and conflict-free colorings
We investigate the relationship between two kinds of vertex colorings of graphs: uniquemaximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors are ...
Panagiotis Cheilaris and Géza Tóth