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» Bounds on the k-domination number of a graph
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FOCS
2006
IEEE
16 years 7 days ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
JGT
2010
152views more  JGT 2010»
15 years 29 days ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
CAAN
2007
Springer
16 years 11 days ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang
GC
2008
Springer
15 years 6 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
COCOON
2005
Springer
15 years 11 months ago
New Streaming Algorithms for Counting Triangles in Graphs
Abstract. We present three streaming algorithms that ( , δ)− approximate 1 the number of triangles in graphs. Similar to the previous algorithms [3], the space usage of presente...
Hossein Jowhari, Mohammad Ghodsi