activity
20112025
most citedCharacterization of Randomly k-Dimensional Graphs

6 citations · 9 across the 8 of their papers we have counts for

collaborators

12 papers

math.CO2025

Metric dimension of Cartesian product of stars

Akbar Davoodi, Mohsen Jannesari

The metric dimension of a graph is the minimum number of landmark vertices required so that every vertex can be uniquely identified by its distances to the landmarks. This paramete…

math.CO2022

Metric dimension of lexicographic product of some known graphs

Mohsen Jannesari

For an ordered set W = {w1,w2,...,wk} of vertices and a vertex v in a connected graph G, the ordered k-vector r(v|W) := (d(v,w1),d(v,w2),...,d(v,wk)) is called the (metric) represe…

math.CO2021

On minimal doubly resolving sets in graphs

Mohsen Jannesari

Two vertices u,v of connected graph G are doubly resolved by x,y\in V(G)if d(v; x)-d(u; x)\neq d(v; y)-d(u; y): A set W of vertices of the graph G is a doubly resolving set for G i…

math.CO2021

Graphs with constant adjacency dimension

Mohsen Jannesari

For a set W of vertices and a vertex v in a graph G, the k-vector r2(v|W) = (aG(v,w1),...,aG(v,wk)) is the adjacency representation of v with respect to W, where W = {w1,...,wk} an…

math.CO2015

A characterization of some graphs with metric dimension two

Ali Behtoei, Akbar Davoodi, Mohsen Jannesari +1

A set W \subseteq V (G) is called a resolving set, if for each pair of distinct vertices u,v \in V (G) there exists t \in W such that d(u,t) \neq d(v,t), where d(x,y) is the distan…

math.CO2012★ 1 cited

Uniquely dimensional graphs

Behrooz Bagheri, Mohsen Jannesari, Behnaz Omoomi

A set is called a resolving set, if for each two distinct vertices there exists such that , where is the distan…