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» Obstacle Numbers of Graphs
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DAM
2007
70views more  DAM 2007»
15 years 2 months ago
Path-kipas Ramsey numbers
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
A. N. M. Salman, H. J. Broersma
LICS
1991
IEEE
15 years 6 months ago
On the Deduction Rule and the Number of Proof Lines
d Abstract) Maria Luisa Bonet∗ Samuel R. Buss∗ Department of Mathematics Department of Mathematics U.C. Berkeley U.C. San Diego Berkeley, California 94720 La Jolla, California ...
Maria Luisa Bonet, Samuel R. Buss
101
Voted
EWCG
2000
15 years 4 months ago
Exploring an Unknown Cellular Environment
We investigate the exploration problem of a short-sighted mobile robot moving about in an unknown cellular room. In order to explore a cell, the robot must enter it. Once inside, ...
Christian Icking, Thomas Kamphans, Rolf Klein, Elm...
152
Voted
INFOCOM
2006
IEEE
15 years 8 months ago
Relay Placement for Higher Order Connectivity in Wireless Sensor Networks
Abstract— Sensors typically use wireless transmitters to communicate with each other. However, sensors may be located in a way that they cannot even form a connected network (e.g...
Abhishek Kashyap, Samir Khuller, Mark A. Shayman
JGT
2010
117views more  JGT 2010»
15 years 1 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin