Results 31 to 40 of about 279,742 (250)
On the edge dimension and the fractional edge dimension of graphs [PDF]
Discrete Applied Mathematics, 2021 Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and let $d(u,w)$ denote the length of a $u-w$ geodesic in $G$. For any $v\in V(G)$ and $e=xy\in E(G)$, let $d(e,v)=\min\{d(x,v),d(y,v)\}$. For distinct $e_1, e_2\in E(G)$, let $R\{e_1,e_2\}=\{
Eunjeong Yi
semanticscholar +1 more source
Identifying the Exact Value of the Metric Dimension and Edge Dimension of Unicyclic Graphs
Mathematics, 2022 Given a simple connected graph G, the metric dimension dim(G) (and edge metric dimension edim(G)) is defined as the cardinality of a smallest vertex subset S⊆V(G) for which every two distinct vertices (and edges) in G have distinct distances to a vertex ...
En-Qiang Zhu +2 more
semanticscholar +1 more source
On Resolvability Parameters of Some Wheel-Related Graphs
Journal of Chemistry, 2019 Let G=V,E be a simple connected graph, w∈V be a vertex, and e=uv∈E be an edge. The distance between the vertex w and edge e is given by de,w=mindw,u,dw,v, A vertex w distinguishes two edges e1, e2∈E if dw,e1≠dw,e2.
Bin Yang +3 more
doaj +1 more source
Fuzzy Secure Double Resolving Set and Co-secure Double Resolving Set and its Application
Boletim da Sociedade Paranaense de MatemáticaIn this article, we present a novel concept in fuzzy graph theory named fuzzy secure double resolving set. The main contribution of this paper is the introduction of various fuzzy secure resolving sets such as fuzzy secure resolving set, fuzzy co-secure ...
S. R., S. P., S. T
semanticscholar +1 more source
Vertex and edge resolvability of some drug structures
Results in ChemistryDistance-based parameters are crucial in studying drug structures as they help in uniquely identifying and characterizing the molecular structure through the analysis of graph representations, thereby aiding in the understanding of molecular properties ...
Ayesha Andalib Kiran +3 more
doaj +1 more source
Barycentric Subdivision of Cayley Graphs With Constant Edge Metric Dimension
IEEE Access, 2020 A motion of a robot in space is represented by a graph. A robot change its position from point to point and its position can be determined itself by distinct labelled landmarks points.
Ali N. A. Koam, Ali Ahmad
doaj +1 more source
The K-Size Edge Metric Dimension of Graphs
Journal of Mathematics, 2020 In this paper, a new concept k-size edge resolving set for a connected graph G in the context of resolvability of graphs is defined. Some properties and realizable results on k-size edge resolvability of graphs are studied.
Tanveer Iqbal +2 more
doaj +1 more source
On the resolving strong domination number of graphs: a new notion
, 2021 The study of metric dimension of graph G has widely given some results and contribution of graph research of interest, including the domination set theory.
Dafik +4 more
semanticscholar +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben +4 more
wiley +1 more source
Fault-Tolerant Metric Dimension and Applications: Zero-Divisor Graph of Upper Triangular Matrices
MathematicsGraph invariants play a crucial role in understanding the structural and combinatorial characteristics of graphs. The fault-tolerant metric dimension, as a significant graph invariant, finds applications in diverse areas such as robust network ...
Latif Abdelmalek Hanna +2 more
doaj +1 more source