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STOC
2004
ACM
131views Algorithms» more  STOC 2004»
16 years 5 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 11 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 8 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
CCCG
2009
15 years 6 months ago
On Graph Thickness, Geometric Thickness, and Separator Theorems
We investigate the relationship between geometric thickness and the thickness, outerthickness, and arboricity of graphs. In particular, we prove that all graphs with arboricity tw...
Christian A. Duncan
135
Voted
COMBINATORICS
2007
100views more  COMBINATORICS 2007»
15 years 5 months ago
Revisiting Two Classical Results on Graph Spectra
Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) If H is a proper subgraph of a connected graph G o...
Vladimir Nikiforov