The strong metric dimension of generalized Sierpiński graphs with pendant vertices
نویسندگان
چکیده
منابع مشابه
The metric dimension and girth of graphs
A set $Wsubseteq V(G)$ is called a resolving set for $G$, if for each two distinct vertices $u,vin V(G)$ there exists $win W$ such that $d(u,w)neq d(v,w)$, where $d(x,y)$ is the distance between the vertices $x$ and $y$. The minimum cardinality of a resolving set for $G$ is called the metric dimension of $G$, and denoted by $dim(G)$. In this paper, it is proved that in a connected graph $...
متن کاملOn the Strong Metric Dimension of Cartesian Sum Graphs
A vertex w of a connected graph G strongly resolves two vertices u, v ∈ V (G), if there exists some shortest u−w path containing v or some shortest v−w path containing u. A set S of vertices is a strong metric generator for G if every pair of vertices of G is strongly resolved by some vertex of S. The smallest cardinality of a strong metric generator for G is called the strong metric dimension ...
متن کاملthe metric dimension and girth of graphs
a set $wsubseteq v(g)$ is called a resolving set for $g$, if for each two distinct vertices $u,vin v(g)$ there exists $win w$ such that $d(u,w)neq d(v,w)$, where $d(x,y)$ is the distance between the vertices $x$ and $y$. the minimum cardinality of a resolving set for $g$ is called the metric dimension of $g$, and denoted by $dim(g)$. in this paper, it is proved that in a connected graph $...
متن کاملHamming dimension of a graph - The case of Sierpiński graphs
The Hamming dimension of a graph G is introduced as the largest dimension of a Hamming graph into which G embeds as an irredundant induced subgraph. An upper bound is proved for the Hamming dimension of Sierpiński graphs S k , k ≥ 3. The Hamming dimension of S 3 grows as 3. Several explicit embeddings are constructed along the way, in particular into products of generalized Sierpiński triangle ...
متن کاملThe spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices
In this paper, we determine graphs with the largest spectral radius among all the unicyclic and all the bicyclic graphs with n vertices and k pendant vertices, respectively. © 2005 Elsevier Inc. All rights reserved. AMS classification: 05C50
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2016
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.813.903