TY - JOUR T1 - Betweenness centrality in convex amalgamation of graphs AU - Kumar Raghavan Unnithan, Sunil AU - Balakrishnan, Kannan PY - 2019 DA - January DO - 10.13069/jacodesmath.508983 JF - Journal of Algebra Combinatorics Discrete Structures and Applications PB - iPeak Academy WT - DergiPark SN - 2148-838X SP - 21 EP - 38 VL - 6 IS - 1 LA - en AB - Betweenness centrality measures the potential or power of a node to control the communication over the network under the assumption that information flows primarily over the shortestpaths between pair of nodes. The removal of a node with highest betweenness from the networkwill most disrupt communications between other nodes because it lies on the largest numberof paths. A large network can be thought of as inter-connection between smaller networks bymeans of different graph operations. Thus the structure of a composite graph can be studied byanalysing its component graphs. In this paper we present the betweenness centrality of someclasses of composite graphs constructed by the graph operation called amalgamation or merging. KW - Betweenness centrality KW - Central vertex KW - Extreme vertex KW - Convex subgraph KW - Vertex amalgamation KW - Edge amalgamation KW - Path amalgamation KW - Subgraph amalgamation CR - [1] A. Bavelas, A mathematical model for group structures, Human Organization 7, Appl. Anthropol. 7(3) (1948) 16–30. CR - [2] U. Brandes, A faster algorithm for betweenness centrality, J. Math. Sociol. 25(2) (2001) 163–177. CR - [3] L. C. Freeman, A set of measures of centrality based on betweenness, Sociometry 40(1) (1977) 35–41. CR - [4] R. Frucht, F. Haray, On the corona of two graphs, Aequationes Math. 4(3) (1970) 322–325. CR - [5] J. A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. (2009) 1–219. CR - [6] F. Harary, The number of linear, directed, rooted, and connected graphs, Trans. Amer. Math. Soc. 78(2) (1955) 445–463. CR - [7] S. Kumar, K. Balakrishnan, M. Jathavedan, Betweenness centrality in some classes of graphs, Int. J. Comb. 2014 (2014) 1–12. CR - [8] S. Kumar, K. Balakrishnan, On the number of geodesics of Petersen graph $ GP (n, 2)$, Electronic Notes in Discrete Mathematics 63 (2017) 295–302. CR - [9] S.-C. Shee, Y.-S. Ho, The cordiality of one-point union of n copies of a graph, Discrete Math. 117(1–3) (1993) 225–243. UR - https://doi.org/10.13069/jacodesmath.508983 L1 - https://dergipark.org.tr/en/download/article-file/620107 ER -