An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely identified by the set of its neighbours within the code.
Jul 1, 2011
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Sep 21, 2012 · Abstract. An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely.
Jul 17, 2012 · An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely identified by the set of its ...
Subset C of V such that: C is a dominating set in G: ∀u ∈ V, N[u] ∩ C 6= ∅, and. C is a separating code in G: ∀u 6= v of V, N[u] ∩ C 6= N[v] ∩ C.
This work exhibits important graph classes for which Minimum Dominating Set is efficiently solvable, but Minimum Identifying Code is hard (whereas in all ...
Oct 15, 2020 · In this paper, we prove that every line digraph of minimum in-degree one does not admit a (1, ≤ l)-identifying code for l ≥ 3.
May 13, 2019 · Moreover, we find that the identifying number of a line digraph is lower bounded by the size of the original digraph minus its order.
Thus, the definition for digraphs is a natural extension of the concept of (1,≤ `)-identifying codes in graphs. A (1,≤ 1)-identifying code is known as an ...
Edge-identifying codes. Complexity. Edge-identi able graphs. Remark. Not all graphs have an edge-identifying code ! Pendant = pair of twin edges. A graph is ...
Jul 1, 2011 · An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely identified by the set of its ...