Feb 20, 2019 · A subset S of vertices in a graph G is an identifying code if for every pair of vertices x and y of G, the sets and are non-empty and different.

Apr 11, 2022 · We give an improvement over all the best known upper bounds, some of which have stood for over 20 years, for identifying codes in trees.

Feb 20, 2019 · In this section we give a lower bound on the identifying code of a tree, and characterize all trees achieving equality of the lower bound. The ...

Nov 11, 2022 · Identifying codes and related concepts have been extensively studied for trees; in particular, lower and upper bounds involving the number of ...

In this paper, we continue the study of identifying codes in graphs, introduced by Karpovsky et al. (IEEE Trans Inf Theory 44:599–611, 1998).

We give an improvement over all the best known upper bounds, some of which have stood for over 20 years, for identifying codes in trees.

In [1], Bertrand, Charon, Hudry and Lobstein established the following lower bound on the minimum cardinality of an identifying code in trees. Theorem 3.1 % ...

In this paper, we continue the study of identifying codes in graphs, introduced by Karpovsky et al. (IEEE Trans Inf Theory 44:599–611, 1998).

Abstract. An identifying code C of a graph G is a dominating set of G such that any two distinct vertices of G have distinct closed neighborhoods within C.

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