Closeness Centrality of Vertices in Graphs Under Some Operations

نویسندگان

چکیده

In this paper, we revisit the concept of (normalized) closeness centrality a vertex in graph and investigate it some graphs under operations. Specifically, derive formulas that compute vertices shadow graph, complementary prism, edge corona, disjunction graphs.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Centrality of Some Cubic Graphs on 16 Vertices

There exist graphs of which all detours are Hamiltonian paths. Such graphs are called by Diudea (J. Chem. Inf. Comput. Sci. 1997, 37, 1101-1108) full Hamiltonian detour FHΔ graphs. These graphs show the maximal value of the Detour index while the minimal value of the Cluj-Detour index. A selected set of cubic graphs on 16 vertices is tested for the distribution of the relative centrality RC val...

متن کامل

Closeness Centrality Extended To Unconnected Graphs : The Harmonic Centrality Index

Social network analysis is a rapid expanding interdisciplinary field, growing from work of sociologists, physicists, historians, mathematicians, political scientists, etc. Some methods have been commonly accepted in spite of defects, perhaps because of the rareness of synthetic work like (Freeman, 1978; Faust & Wasserman, 1992). In this article, we propose an alternative index of closeness cent...

متن کامل

Computing Top-k Closeness Centrality Faster in Unweighted Graphs

Given a connected graph G = (V,E), the closeness centrality of a vertex v is defined as n−1 ∑ w∈V d(v,w) . This measure is widely used in the analysis of real-world complex networks, and the problem of selecting the k most central vertices has been deeply analysed in the last decade. However, this problem is computationally not easy, especially for large networks: in the first part of the paper...

متن کامل

Computing Top-k Closeness Centrality in Fully-dynamic Graphs

Closeness is a widely-studied centrality measure. Since it requires all pairwise distances, computing closeness for all nodes is infeasible for large real-world networks. However, for many applications, it is only necessary to find the k most central nodes and not all closeness values. Prior work has shown that computing the top-k nodes with highest closeness can be done much faster than comput...

متن کامل

Applications of some Graph Operations in Computing some Invariants of Chemical Graphs

In this paper, we first collect the earlier results about some graph operations and then we present applications of these results in working with chemical graphs.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: European Journal of Pure and Applied Mathematics

سال: 2023

ISSN: ['1307-5543']

DOI: https://doi.org/10.29020/nybg.ejpam.v16i3.4848