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» New Bounds for Codes Identifying Vertices in Graphs
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ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 5 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»
14 years 11 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
81
Voted
CORR
2010
Springer
92views Education» more  CORR 2010»
14 years 11 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»
14 years 11 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»
14 years 11 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