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96
Voted
RSA
2000
98views more  RSA 2000»
15 years 17 days 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
72
Voted
DM
2002
78views more  DM 2002»
15 years 18 days 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
111
Voted
DM
2002
116views more  DM 2002»
15 years 18 days 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 ...
91
Voted
ARSCOM
2000
79views more  ARSCOM 2000»
15 years 19 days 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, ...
82
Voted
WINET
2008
86views more  WINET 2008»
15 years 20 days 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»
15 years 20 days 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
121
Voted
JCO
2007
65views more  JCO 2007»
15 years 20 days 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»
15 years 20 days 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, ...
99
Voted
TIT
2008
103views more  TIT 2008»
15 years 21 days 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
107
Voted
TCS
2008
15 years 21 days 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