On the dimension of a graph

Author: cgbv

August undefined, 2024

Web27 de nov. de 2024 · Circulant graphs are Cayley graphs of cyclic groups and the metric dimension of circulant graphs with at most $3$ generators has been extensively studied especially in the last decade. We extend known results in the area by presenting the lower and the upper bounds on the metric dimension of circulant graphs with $4$ generators. Web31 de dez. de 2024 · The outer multiset dimension \textrm {dim}_\textrm {ms} (G) of a graph G is the cardinality of a smallest set of vertices that uniquely recognize all the vertices outside this set by using multisets of distances to the set. It is proved that \textrm {dim}_\textrm {ms} (G) = n (G) - 1 if and only if G is a regular graph with diameter at most 2.

[PDF] Local Orthogonality Dimension Semantic Scholar

Web10 de nov. de 2024 · The cut dimension was recently defined by Graur et al.\ \cite {GPRW20}, who show that the maximum cut dimension of an -vertex graph is a lower … Web11 de abr. de 2024 · This paper is devoted to the study of the arithmetic graph of a composite number m, denoted by A m . It has been observed that there exist different composite numbers for which the arithmetic graphs are isomorphic. It is proved that the maximum distance between any two vertices of A m is two or three. Conditions under … inbreeding machine

[2106.08303] The distance-k dimension of graphs - arXiv.org

Web8 de abr. de 2024 · On The (k,t)-Metric Dimension Of Graphs - 24 Hours access EUR €14.00 GBP £13.00 USD $15.00 Rental. This article is also available for rental through … Web29 de mar. de 2016 · In this article, we compute the metric and edge metric dimension of two classes of windmill graphs such as French windmill graph and Dutch windmill … WebKEYWORDS: Metric Dimension; Basis; Resolving Set; Dragon Graph. JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.2 No.1, January 20 , 2012 ABSTRACT: If G is a connected graph, the distance d (u,v) between two ... inbreeding insects

On the (k, t)-metric dimension of a graph - Academia.edu

The partition dimension of a graph SpringerLink

Web12 de abr. de 2024 · Graph-embedding learning is the foundation of complex information network analysis, aiming to represent nodes in a graph network as low-dimensional … Web4 de jul. de 2024 · In this paper, we establish bounds on the domination number and the metric dimension of the co-normal product graph $G_{H}$ of two simple graphs G and H in terms of parameters associated with G and H.We also give conditions on the graphs G and H for which the domination number of $G_{H}$ is 1, 2, and the domination number … inclination\u0027s n4Web2 de out. de 2024 · We show that for certain graphs this lower bound is tight, whereas for others, the local orthogonality dimension over the reals is equal to the chromatic number. More generally, we prove that for every complement of a line graph, the local orthogonality dimension over $\mathbb{R}$ coincides with the chromatic number. inclination\u0027s n1

"http://www.scholarpedia.org/article/Metric_Dimension " - On the dimension of a graph

On the dimension of a graph

On the metric dimension of line graphs - ScienceDirect

WebThe following settings affect the calculation and display of available members for the Time dimension on the Members tab in the Selector Tool for the plan: The default value for the Demand History Days field is 182 days. Note: If data isn't available, blank rows are displayed for the time periods included in tables and graphs. Web27 de abr. de 2024 · THE METRIC DIMENSION OF THE ANNIHILATING-IDEAL GRAPH OF A FINITE COMMUTATIVE RING - Volume 103 Issue 3. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

Did you know?

Web1 de jul. de 2024 · Given a connected graph , the edge dimension, denoted , is the least size of a set that distinguishes every pair of edges of , in the sense that the edges have … WebWe define the dimension of a graph 0, denoted dim 0, as the minimum number n such that G can be embedded into Euclidean re-spacen with E every edge of O having length 1. …

Web15 de jun. de 2024 · Jesse Geneson, Eunjeong Yi. The metric dimension, , of a graph is a graph parameter motivated by robot navigation that has been studied extensively. Let be … Web26 de jul. de 2005 · A set S of vertices in a graph G resolves G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of a resolving set of G. This paper studies the metric dimension of cartesian products G*H. We prove that the metric dimension of G*G is tied in a strong …

Web3 de ago. de 2024 · We also study the change in the broadcast dimension of a graph under a single edge deletion. We show that both the additive increase and decrease of the … Web4 de nov. de 2024 · ON THE STRONG METRIC DIMENSION OF A TOTAL GRAPH OF NONZERO ANNIHILATING IDEALS - Volume 105 Issue 3. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

Web15 de jan. de 2024 · Plotting a 4D graph with the fourth dimension... Learn more about calculus, plotting, 3d plots, mathematics . I would like to know how to plot R0 (basic …

Web4 PerfectmatchingsandQuantumphysics: BoundingthedimensionofGHZstates I Deﬁnition6. The dimension of a valid experiment graph G, µ(G) is the number of feasible ... inbreeding livestockWeb6 de dez. de 2013 · We characterize all nontrivial connected graphs of order n having local metric dimension 1, n-2, or n-1 and establish sharp bounds for the local metric dimension of a graph in terms of well-known ... inclination\u0027s nWebThis naturally leads to the question as to whether classes of graphs with low Weisfeiler-Leman dimension generate classes of 2-nilpotent groups with low Weisfeiler-Leman … inclination\u0027s mwWebAbstract. A set of vertices S resolves a graph G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of a resolving set of G. This paper studies the metric dimension of cartesian products G H. We prove that the metric dimension of G G is tied in a strong ... inbreeding miceWebWe define the dimension of a graph G, denoted dim G, as the minimum number n such that G can be embedded into Euclidean n-space E,, with every edge of G having … inclination\u0027s myWebFinding the metric dimension of a graph is an NP-hardproblem; the decision version, determining whether the metric dimension is less than a given value, is NP-complete. … inbreeding modern royal family spainWeb24 de jan. de 2024 · The threshold dimension of a graph , denoted , is the minimum metric dimension among all graphs having as a spanning subgraph. In other words, the threshold dimension of is the minimum metric dimension among all graphs obtained from by adding edges. If , then is said to be \emph {irreducible}; otherwise, we say that is … inclination\u0027s n3