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» Obstacle Numbers of Graphs
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DAM
2007
70views more  DAM 2007»
13 years 9 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
14 years 21 days 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
EWCG
2000
13 years 10 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...
INFOCOM
2006
IEEE
14 years 3 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»
13 years 7 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