An optimal strongly identifying code in the infinite triangular grid
: Honkala Iiro
Publisher: ELECTRONIC JOURNAL OF COMBINATORICS
: 2010
: The Electronic Journal of Combinatorics
: ELECTRONIC JOURNAL OF COMBINATORICS
: ELECTRON J COMB
: R91
: 1
: 17
: 1
: 10
: 1077-8926
: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r91(external)
: https://research.utu.fi/converis/portal/Publication/1873118(external)
Assume that G = (V, E) is an undirected graph, and C subset of V. For every v is an element of V, we denote by I(v) the set of all elements of C that are within distance one from v. If the sets I(v){v} for v is an element of V are all nonempty, and, moreover, the sets {I(v), I(v){v}} for v is an element of V are disjoint, then C is called a strongly identifying code. The smallest possible density of a strongly identifying code in the infinite triangular grid is shown to be 6/19.
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