Results 61 to 70 of about 429,051 (306)

On the conformal gauge of a compact metric space [PDF]

, 2012
In this article we study the Ahlfors regular conformal gauge of a compact metric space $(X,d)$, and its conformal dimension $\mathrm{dim}_{AR}(X,d)$. Using a sequence of finite coverings of $(X,d)$, we construct distances in its Ahlfors regular conformal
Piaggio, Matias Carrasco
core   +4 more sources

Generalized perimantanes diamondoid structure and their edge-based metric dimensions

AIMS Mathematics, 2022
Due to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure.
Al-Nashri Al-Hossain Ahmad, Ali Ahmad
doaj   +1 more source

On Metric Dimension of Functigraphs

, 2012
The \emph{metric dimension} of a graph $G$, denoted by $\dim(G)$, is the minimum number of vertices such that each vertex is uniquely determined by its distances to the chosen vertices.
Bailey R. F., Chartrand G., Chartrand G., Chartrand G., Chen A., CONG X. KANG, Dörfler W., Eroh L., EUNJEONG YI, Garey M. R., Guo J., Harary F., Hernando C., LINDA EROH, Poisson C., Shanmukha B., Slater P. J., Slater P. J.   +17 more
core   +1 more source

Moduli of Tropical Plane Curves [PDF]

, 2014
We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane curves.
Brodsky, Sarah, Joswig, Michael, Morrison, Ralph, Sturmfels, Bernd   +3 more
core   +3 more sources

On Certain Bounds for Edge Metric Dimension of Zero-Divisor Graphs Associated with Rings

Mathematical Problems in Engineering, 2021
Given a finite commutative unital ring S having some non-zero elements x ,
H. M. A. Siddiqui, Ammar Mujahid, M. Binyamin, M. Nadeem   +3 more
semanticscholar   +1 more source

A Comparative Study of Three Resolving Parameters of Graphs

Complexity, 2021
Graph theory is one of those subjects that is a vital part of the digital world. It is used to monitor the movement of robots on a network, to debug computer networks, to develop algorithms, and to analyze the structural properties of chemical structures,
Hafiz Muhammad Ikhlaq, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran   +2 more
doaj   +1 more source

A light metric spanner

, 2015
It has long been known that $d$-dimensional Euclidean point sets admit $(1+\epsilon)$-stretch spanners with lightness $W_E = \epsilon^{-O(d)}$, that is total edge weight at most $W_E$ times the weight of the minimum spaning tree of the set [DHN93 ...
Gottlieb, Lee-Ad
core   +1 more source

The metric space of geodesic laminations on a surface: I [PDF]

, 2003
We consider the space of geodesic laminations on a surface, endowed with the Hausdorff metric d_H and with a variation of this metric called the d_log metric. We compute and/or estimate the Hausdorff dimensions of these two metrics.
Casson, Fathi, Francis Bonahon, Gromov, Katok, Minsky, Penner, Xiaodong Zhu   +7 more
core   +4 more sources

Computation of Edge Resolvability of Benzenoid Tripod Structure

Journal of Mathematics, 2021
In chemistry, graphs are commonly used to show the structure of chemical compounds, with nodes and edges representing the atom and bond types, respectively.
Ali Ahmad, Sadia Husain, Muhammad Azeem, Kashif Elahi, M. K. Siddiqui   +4 more
doaj   +1 more source

Phase Retrieval via Randomized Kaczmarz: Theoretical Guarantees

, 2017
We consider the problem of phase retrieval, i.e. that of solving systems of quadratic equations. A simple variant of the randomized Kaczmarz method was recently proposed for phase retrieval, and it was shown numerically to have a computational edge over ...
Tan, Yan Shuo, Vershynin, Roman
core   +1 more source