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» New Bounds for Codes Identifying Vertices in Graphs
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ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
13 years 11 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
CORR
2007
Springer
149views Education» more  CORR 2007»
13 years 5 months ago
Graph Entropy, Network Coding and Guessing games
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is ide...
Søren Riis
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 5 months ago
Extremal graphs for the identifying code problem
An identifying code of a graph G is a dominating set C such that every vertex x of G is distinguished from all other vertices by the set of vertices in C that are at distance at m...
Florent Foucaud, Eleonora Guerrini, Matjaz Kovse, ...
ARSCOM
2004
86views more  ARSCOM 2004»
13 years 5 months ago
New Conditions for k-ordered Hamiltonian Graphs
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
Guantao Chen, Ronald J. Gould, Florian Pfender
CPC
2004
69views more  CPC 2004»
13 years 5 months ago
New Bounds on Parent-Identifying Codes: The Case of Multiple Parents
Let C be a code of length n over an alphabet of q letters. A codeword y is called a descendant of a set of t codewords {x1 , . . . , xt } if yi {x1 i , . . . , xt i} for all i = ...
Noga Alon, Uri Stav