Results 61 to 70 of about 1,431,476 (287)

Fault-Tolerant Metric Dimension of Circulant Graphs

Mathematics, 2022
Let G be a connected graph with vertex set V(G) and d(u,v) be the distance between the vertices u and v. A set of vertices S={s1,s2,…,sk}⊂V(G) is called a resolving set for G if, for any two distinct vertices u,v∈V(G), there is a vertex si∈S such that d ...
Laxman Saha, Rupen Lama, Kalishankar Tiwary, Kinkar Chandra Das, Yilun Shang   +4 more
doaj   +1 more source

Computing dominant metric dimensions of certain connected networks

Heliyon
In the studies of the connected networks, metric dimension being a distance-based parameter got much more attention of the researches due to its wide range of applications in different areas of chemistry and computer science. At present its various types
Imtiaz Ali, Muhammad Javaid, Yilun Shang
doaj   +1 more source

Metric Dimension of Maximal Outerplanar Graphs [PDF]

, 2021
In this paper, we study the metric dimension problem in maximal outerplanar graphs. Concretely, if β(G) denotes the metric dimension of a maximal outerplanar graph G of order n, we prove that 2≤β(G)≤⌈2n5⌉ and that the bounds are tight.
Hernando, C., García, A., Mora, M., Tejel, J., Maureso, M., Claverol, M., Hernández, G.   +6 more
core   +1 more source

Honeycomb Rhombic Torus Vertex-Edge Based Resolvability Parameters and Its Application in Robot Navigation

IEEE Access
In the aircraft sector, honeycomb composite materials are frequently employed. Recent research has demonstrated the benefits of honeycomb structures in applications involving nanohole arrays in anodized alumina, micro-porous arrays in polymer thin films,
Sidra Bukhari, Muhammad Kamran Jamil, Muhammad Azeem, Senesie Swaray   +3 more
doaj   +1 more source

A metric approach to limit operators

, 2017
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core   +1 more source

On the metric dimension of converging sequences [PDF]

, 1993
summary:In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown --- for any sequence converging to zero there is a greater sequence with an arbitrary ($\leqslant 1$) upper dimension.
Žáčik, Tibor, Mišík, Ladislav, Jr.
core   +1 more source

Infant Embryonal CNS Tumors: Molecular Insights and Treatment Considerations for Contemporary Pediatric Neuro‐Oncology

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan, Mariah Wright‐Nadkarni, Mohamed S. Abdelbaki, Girish Dhall   +3 more
wiley   +1 more source

Double resolvability parameters of fosmidomycin anti-malaria drug and exchange property

Heliyon
The practical and theoretical significance of the resolvability parameter makes it an important factor, particularly in the context of network analysis.
Rashad Ismail, Sikander Ali, Muhammad Azeem, Manzoor Ahmad Zahid   +3 more
doaj   +1 more source

Ewing Sarcoma in Infants and Children Under 2 Years of Age: A French Retrospective Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Ewing sarcoma, the second most common primary bone cancer in children, requires intensive treatment that may lead to significant long‐term sequelae, particularly in infants. We retrospectively analyzed data from 1621 French patients treated between 1988 and 2015 within the EW88/93/97 or EE99 trials, focusing on 17 infants diagnosed before 24 ...
Elodie Verdier, Nathalie Cozic, Marie‐Dominique Tabone, Gaelle Pierron, Perrine Marec‐Berard, Sarah Winter, Gabriel Revon‐Rivière, Cyril Lervat, Dominique Plantaz, Marie‐Pierre Castex, Gregory Guimard, Estelle Thebaud, Stephanie Proust, Laure Saumet, Natacha Entz‐Werle, Sophie Taque, Cécile Vérité, Marta Jimenez, Nathalie Gaspar   +18 more
wiley   +1 more source

Metric dimension of generalized wheels

Arab Journal of Mathematical Sciences, 2019
In a graph G, a vertex w∈V(G)resolves a pair of vertices u,v∈V(G)if d(u,w)≠d(v,w). A resolving set of G is a set of vertices S such that every pair of distinct vertices in V(G)is resolved by some vertex in S.
Badekara Sooryanarayana, Shreedhar Kunikullaya, Narahari Narasimha Swamy   +2 more
doaj   +1 more source