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» Bounding the Number of Edges in Permutation Graphs
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SODA
2004
ACM
121views Algorithms» more  SODA 2004»
15 years 7 months ago
A characterization of easily testable induced subgraphs
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
Noga Alon, Asaf Shapira
ENDM
2007
106views more  ENDM 2007»
15 years 6 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
IJCM
2002
92views more  IJCM 2002»
15 years 5 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
FOCS
2008
IEEE
16 years 14 days ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
SIROCCO
2004
15 years 7 months ago
Asynchronous Broadcast in Radio Networks
Abstract. We study asynchronous packet radio networks in which transmissions among nodes may be delayed. We consider the task of broadcasting a message generated by the source node...
Bogdan S. Chlebus, Mariusz A. Rokicki