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CORR
2008
Springer
135views Education» more  CORR 2008»
13 years 8 months ago
The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace
The isomorphism problem for planar graphs is known to be efficiently solvable. For planar 3-connected graphs, the isomorphism problem can be solved by efficient parallel algorithm...
Thomas Thierauf, Fabian Wagner
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 7 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 7 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein
ESA
2010
Springer
203views Algorithms» more  ESA 2010»
13 years 9 months ago
Testing Euclidean Spanners
In this paper we develop a property testing algorithm for the problem of testing whether a directed geometric graph with bounded (out)degree is a (1 + )-spanner.
Frank Hellweg, Melanie Schmidt, Christian Sohler
INFOCOM
2005
IEEE
14 years 1 months ago
Bounding the power rate function of wireless ad hoc networks
Abstract— Given a wireless ad hoc network and an endto-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput un...
Yunnan Wu, Qian Zhang, Wenwu Zhu, Sun-Yuan Kung