A Study on Semi-directed Graphs for Social Media Networks

Authors

Sovan Samanta^{1, *,} , Madhumangal Pal^2, , Rupkumar Mahapatra^2, , Kousik Das³, Robin Singh Bhadoria^4,

¹Department of Mathematics, Tamralipta Mahavidyalaya, West Bengal, 721636, India

²Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

³Department of Mathematics, D.J.H. School, Dantan, West Bengal, 721451, India

⁴Department of Computer Science and Engineering, Birla Institute of Applied Sciences

^*Corresponding author. Email: ssamantavu@gmail.com

DOI

10.2991/ijcis.d.210301.001How to use a DOI?

Keywords

Semi-directed graphs; Incidence number; Counter-isomorphism; Matrices; Incidence centrality; Social media networks

Abstract

In the literature of graph theory, networks are represented as directed graphs or undirected graphs and a mixed of both combinations. In today's era of computing, networks like brain and facebook that do not belong to any of the mentioned networks category and in fact, it belongs to the combination of both networks which have connections as directed as well as undirected. To represent such networks, semi-directed graphs have been studied in this paper that provides the detailed mathematical fundamentals related to better understand the conceptualization for social media networks. This paper also discusses the suitable matrices analyze for the representation of the graphs. Few new terminologies like incidence number, complete-incidence related to semi-directed graphs and counter isomorphism of semi-directed graphs have been inculcated. A centrality measure, namely incidence centrality, has also been proposed based on incidence number on neighbors in social media networks.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Sovan Samanta
AU  - Madhumangal Pal
AU  - Rupkumar Mahapatra
AU  - Kousik Das
AU  - Robin Singh Bhadoria
PY  - 2021
DA  - 2021/03/10
TI  - A Study on Semi-directed Graphs for Social Media Networks
JO  - International Journal of Computational Intelligence Systems
SP  - 1034
EP  - 1041
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210301.001
DO  - 10.2991/ijcis.d.210301.001
ID  - Samanta2021
ER  -