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» Bounds on the k-domination number of a graph
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SODA
2008
ACM
93views Algorithms» more  SODA 2008»
15 years 7 months ago
Fast load balancing via bounded best response
It is known that the dynamics of best response in an environment of non-cooperative users may converge to a good solution when users play sequentially, but may cycle far away from...
Baruch Awerbuch, Yossi Azar, Rohit Khandekar
JGT
2007
68views more  JGT 2007»
15 years 6 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
15 years 6 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
DM
2008
137views more  DM 2008»
15 years 6 months ago
Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs
Let G = (V, E) be a graph. A set S V is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex of V - S is adjacent to a vertex in V - S....
Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Jo...
CORR
2012
Springer
194views Education» more  CORR 2012»
14 years 1 months ago
A Graph Theoretical Approach to Network Encoding Complexity
Consider an acyclic directed network G with sources S1, S2, . . . , Sl and distinct sinks R1, R2, . . . , Rl. For i = 1, 2, . . . , l, let ci denote the min-cut between Si and Ri....
Li Xu, Weiping Shang, Guangyue Han