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EJC
2007
13 years 6 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n ...
Oliver Cooley, Daniela Kühn, Deryk Osthus
SIAMDM
2010
89views more  SIAMDM 2010»
13 years 1 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
COMBINATORICS
1999
93views more  COMBINATORICS 1999»
13 years 5 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 10 days ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
14 years 25 days ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...