A NOTE ON INDICES OF PRIMEPOWER AND SEMIPRIME DIVISOR FUNCTION GRAPH

The notion of using number theortic based graph seems to be one of the flourishing areas in Graph theory. One such concept is the divisor function graph GD(n) which is defined as: For any positive integer n ≥ 1 with r divisors d1,d2,d3,...,dr, divisor function graph GD(n) is a (V,E) graph with V as...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2021-01, Vol.11 - Special Issue (Jaem Vol 11 - Special Issue, 2021), p.51
Main Authors: Shanmugavelan, S, K Thanga Rajeswari, Natarajan, C
Format: Article
Language:English
Subjects:
Apexes
Graph theory
Mathematical functions
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Summary:The notion of using number theortic based graph seems to be one of the flourishing areas in Graph theory. One such concept is the divisor function graph GD(n) which is defined as: For any positive integer n ≥ 1 with r divisors d1,d2,d3,...,dr, divisor function graph GD(n) is a (V,E) graph with V as the set of all factors of n and E be defined in such a way that two vertices di and dj are adjacent if and only if either di | dj or dj | di, i ̸= j. In this paper, we analyze the operation sum of two divisor function graphs and investigate several indices exclusively for prime powers and for semi primes. Also, we derive a result for an independent function.
ISSN:2146-1147