Results 61 to 70 of about 202 (134)

Transfer distance between partitions

Partition, Distance, Clustering, Transfer graph, Centrality, 03E02, 05A18, 05C12, 05C35, 05D99, 62G15, 62G30,
Lucile Denœud
core   +1 more source

On the Eccentric Spectra of the Line Graph of Starlike Trees

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy, S. V. Bharanedhar, Yilun Shang, R. Gurusamy, Palanivel M   +4 more
wiley   +1 more source

Some properties on the lexicographic product of graphs obtained by monogenic semigroups Proceedings of the International Congress in Honour of Professor Hari M. Srivastava

, 2013
In (Das et al. in J. Inequal. Appl. 2013:44, 2013), a new graph [InlineEquation not available: see fulltext.] on monogenic semigroups [InlineEquation not available: see fulltext.] (with zero) having elements [InlineEquation not available: see fulltext ...
Çevik, A., Cangül, İ., Daş, K., Akgüneş, N.   +3 more
core   +1 more source

Strong edge geodetic problem in networks

Open Mathematics, 2017
Geodesic covering problems form a widely researched topic in graph theory. One such problem is geodetic problem introduced by Harary et al. [Math. Comput. Modelling, 1993, 17, 89-95].
Manuel Paul, Klavžar Sandi, Xavier Antony, Arokiaraj Andrew, Thomas Elizabeth   +4 more
doaj   +1 more source

On the Clean Graph of Commutative Artinian Rings

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
For a commutative Artinian ring R with unity, the clean graph Cl(R) is a graph with vertices in the form of an ordered pair (e, u), where e is an idempotent and u is a unit of ring R, respectively. Two distinct vertices (e, u) and (f, v) are adjacent in Cl(R) if and only if ef = fe = 0 or uv = vu = 1.
R. Singh, M. Habibi, S. C. Patekar, Anwar Saleh Alwardi   +3 more
wiley   +1 more source

On the diameters of friends-and-strangers graphs [PDF]

Given simple graphs \(X\) and \(Y\) on the same number of vertices, the friends-and-strangers graph \(\operatorname{FS}(X, Y)\) has as its vertices all bijections from \(V(X)\) to \(V(Y)\), where two bijections are adjacent if and only if they differ on ...
Jeong, Ryan
core   +1 more source

Coloring the vertices of a graph with mutual-visibility property

Open Mathematics
Given a graph GG, a mutual-visibility coloring of GG is a coloring of the vertices of GG satisfying the following. Two vertices x,y∈V(G)x,y\in V\left(G) can be colored with the same color, if there is a shortest x,yx,y-path whose internal vertices have ...
Klavžar Sandi, Kuziak Dorota, Tripodoro Juan Carlos Valenzuela, Yero Ismael G.   +3 more
doaj   +1 more source

Reich Graph Contraction in Graphically Extended b‐Metric Spaces With Applications to Cantilever Beam Equation

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The main focus in this article is to prove the existence and uniqueness of fixed point satisfying Reich graph contraction within the graph structure, in the context of the graphical extended b‐metric spaces. Our findings represent substantial expansions and broader generalizations of certain pioneering results within the current theoretical framework ...
Azham Ilyass, Naveen Mani, Rahul Shukla, Arpan Hazra   +3 more
wiley   +1 more source

Extremal Values on the General Degree–Eccentricity Index of Unicyclic Graphs of Fixed Diameter

Journal of Mathematics, Volume 2025, Issue 1, 2025.
For a connected graph G and two real numbers a, b, the general degree–eccentricity index of G is given by DEIa,bG=∑v∈VGdGavecGbv, where V(G) represent the vertex set of graph G, dG(v) denotes the degree of vertex v, and ecG(v) is the eccentricity of v in G, that is, the maximum distance from v to another vertex of G. This index generalizes several well‐
Mesfin Masre, G. Muhiuddin
wiley   +1 more source

Analysis of the immunomodulatory properties of mycobacterium cell wall fraction on the cytokine production of peripheral blood mononuclear cells of healthy dogs

Veterinary Dermatology, Volume 35, Issue 6, Page 595-604, December 2024.
Background – Mycobacterium cell wall fraction (MCWF) is derived from nonpathogenic Mycobacterium phlei and is used as an immunomodulatory compound in clinical practice, yet its mode‐of‐action requires further research. Objective – To evaluate the host response to MCWF in canine peripheral blood mononuclear cells (PBMCs) by using enzyme‐linked ...
Robert Ward, Geoffrey A. Wood, Charlotte Pye, Khalil Karimi, Anthony Yu, Myles St‐Denis, Katherine Blake, Sugandha Raj, Samson Oladokun, Shayan Sharif   +9 more
wiley   +1 more source