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» On Bounds for the k-Partitioning of Graphs
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CORR
2008
Springer
107views Education» more  CORR 2008»
15 years 6 months ago
On Dynamic Breadth-First Search in External-Memory
We provide the first non-trivial result on dynamic breadth-first search (BFS) in external-memory: For general sparse undirected graphs of initially n nodes and O(n) edges and monot...
Ulrich Meyer
JGT
2006
97views more  JGT 2006»
15 years 6 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
JCT
2007
103views more  JCT 2007»
15 years 6 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
AINA
2010
IEEE
15 years 11 months ago
The Power of Orientation in Symmetry-Breaking
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Satya Krishna Pindiproli, Kishore Kothapalli
ECCC
2006
70views more  ECCC 2006»
15 years 6 months ago
Finding a Heaviest Triangle is not Harder than Matrix Multiplication
We show that for any > 0, a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n + n2+), where is the ...
Artur Czumaj, Andrzej Lingas