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RSA
2000
98views more  RSA 2000»
13 years 11 months ago
Degrees and choice numbers
The choice number ch(G) of a graph G = (V, E) is the minimum number k such that for every assignment of a list S(v) of at least k colors to each vertex v V , there is a proper ve...
Noga Alon
DM
2002
78views more  DM 2002»
13 years 11 months ago
On the half?half case of the Zarankiewicz problem
Consider the minimum number f(m, n) of zeroes in a 2m
Jerrold R. Griggs, Chih-Chang Ho
DM
2002
116views more  DM 2002»
13 years 11 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
ARSCOM
2000
79views more  ARSCOM 2000»
13 years 11 months ago
On exact bicoverings of 12 points
The minimum number of incomplete blocks required to cover, exactly times, all t-element subsets from a set V of cardinality v (v > t) is denoted
J. L. Allston, Mike J. Grannell, Terry S. Griggs, ...
WINET
2008
86views more  WINET 2008»
13 years 11 months ago
Relay sensor placement in wireless sensor networks
This paper addresses the following relay sensor placement problem: given the set of duty sensors in the plane and the upper bound of the transmission range, compute the minimum nu...
Xiuzhen Cheng, Ding-Zhu Du, Lusheng Wang, Baogang ...
CC
2005
Springer
103views System Software» more  CC 2005»
13 years 11 months ago
Valiant's model and the cost of computing integers
Let (n) be the minimum number of arithmetic operations required to build the integer n N from the constants 1 and 2. A sequence xn is said to be "easy to compute" if the...
Pascal Koiran
JCO
2007
65views more  JCO 2007»
13 years 11 months ago
Group testing in graphs
This paper studies the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that t(G) tests are sufficient to identify an u...
Justie Su-tzu Juan, Gerard J. Chang
JCB
2007
99views more  JCB 2007»
13 years 11 months ago
Duplication and Inversion History of a Tandemly Repeated Genes Family
Given a phylogenetic tree for a family of tandemly repeated genes and their signed order on the chromosome, we aim to find the minimum number of inversions compatible with an evo...
Mathieu Lajoie, Denis Bertrand, Nadia El-Mabrouk, ...
TIT
2008
103views more  TIT 2008»
13 years 11 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
TCS
2008
13 years 11 months ago
An annotated bibliography on guaranteed graph searching
Graph searching encompasses a wide variety of combinatorial problems related to the problem of capturing a fugitive residing in a graph using the minimum number of searchers. In t...
Fedor V. Fomin, Dimitrios M. Thilikos