A Study on Clique Invariants of Jaco-Type Graphs

M. Jerlin Seles, U. Mary, Johan Kok

Abstract


The first study related to this concept was that on primitive holes [2]. A primitive hole is indeed the study of the existence of 3-cliques. In this paper we report on research in respect of clique parameters and related properties thereof forcertain Jaco-type graphs. 


Keywords


Jaco graph; Linear Jaco graph; Jaco-type graph; FibonaccianJaco-type graph; Modular k Jaco-type graph; Set Jaco-type graph; Clique; Vertex clique degree

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References


J. Kok, P. Fisher, B. Wilkens, M. Mabula and V. Mukungunugwa, Characteristics of finite Jaco graphs Jn(1), arXiv: 1404.0484v1 [math.CO].

J. Kok and N.K. Sudev, A study on primitive holes of certain graphs, International Journal of Scientific & Engineering Research 6 (3) (March 2015), 631–635.

J. Kok, Susanth C and S.J. Kalayathankal, A study on linear Jaco graphs, Journal of Informatics and Mathematical Sciences 7 (2) (2015), 69–80.

J. Kok and N.K. Sudev, A note on graphically summable sequences, communicated for publication.

J. Kok, N.K. Sudev and K.P. Chithra, A study on Jaco-type graphs, Journal of Informatics and Mathematical Sciences 8 (2) (2015), 105–112.

J. Kok, N.K. Sudev, K.P. Chithra and U. Mary, On the vertex in-degrees of certain Jaco-type graphs, Southeast Asian Bull. Math. to appear.

W.T. Tutte, Thethickness of a graph, Indag. Math. 25 (1963), 567–577.

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