IJPAM: Volume 107, No. 1 (2016)
Tshwane Metropolitan Police Department
City of Tshwane, SOUTH AFRICA
Department of Mathematics
Vidya Academy of Science & Technology
Naduvath Mana, Nandikkara
Thrissur, 680301, INDIA
Abstract. A primitive hole of a graph is a cycle of length in . The number of primitive holes in a given graph is called the primitive hole number of that graph . The primitive degree of a vertex of a given graph is the number of primitive holes incident on the vertex . In this paper, we introduce the notion of Pythagorean holes of graphs and initiate some interesting results on Pythagorean holes in general as well as results in respect of set-graphs and Jaco graphs.
Received: February 12, 2016
AMS Subject Classification: 05C07, 05C20, 05C38
Key Words and Phrases: set-graphs, Jaco graphs, primitive hole, Pythagorean hole, graphical embodiment of a Pythagorean triple
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DOI: 10.12732/ijpam.v107i1.15 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 187 - 200