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» A Note on Graph Pebbling
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ALGOSENSORS
2009
Springer
14 years 2 months ago
A Note on Uniform Power Connectivity in the SINR Model
In this paper we study the connectivity problem for wireless networks under the Signal to Interference plus Noise Ratio (SINR) model. Given a set of radio transmitters distributed ...
Chen Avin, Zvi Lotker, Francesco Pasquale, Yvonne ...
DM
2006
101views more  DM 2006»
13 years 7 months ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
13 years 7 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
ENDM
2002
109views more  ENDM 2002»
13 years 7 months ago
Graph Operations and Zipfian Degree Distributions
The probability distribution on a set S = { 1, 2, . . . , n } defined by Pr(k) = 1/(Hnk), where Hn in the nth harmonic number, is commonly called a Zipfian distribution. In this no...
Walter W. Kirchherr
MST
2011
231views Hardware» more  MST 2011»
12 years 10 months ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma