Journal of the Ramanujan Mathematical Society

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On Antipodal, Eccentric and Super-Eccentric Graph of A Graph


Affiliations
1 Ramanujan Institute University of Madras, Madras -600005, India
2 Department of Mathematics, A.M. Jain College Meenampakkam, Madras - 600114, India
     

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A graph J (G) is said to be super - eccentric graph of a graph G if V(G) = V (J (G) ) and uv ∈ E (J (G) ) whenever d (u,v) ≥ r, where r is the radius of the graph G. In this paper the concept of super - eccentric graphs of a graph is introduced and also the results relating to antipodal, eccentric and super -eccentric graphs of a graph are presented with the characterizations of antipodal, eccentric and super-eccentric geodetic graphs. Also, some graph equations connecting antipodal, eccentric and super - eccentric graphs are discussed.
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  • On Antipodal, Eccentric and Super-Eccentric Graph of A Graph

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Authors

Iqbalunnisa
Ramanujan Institute University of Madras, Madras -600005, India
T. N. Janakdraman
Department of Mathematics, A.M. Jain College Meenampakkam, Madras - 600114, India

Abstract


A graph J (G) is said to be super - eccentric graph of a graph G if V(G) = V (J (G) ) and uv ∈ E (J (G) ) whenever d (u,v) ≥ r, where r is the radius of the graph G. In this paper the concept of super - eccentric graphs of a graph is introduced and also the results relating to antipodal, eccentric and super -eccentric graphs of a graph are presented with the characterizations of antipodal, eccentric and super-eccentric geodetic graphs. Also, some graph equations connecting antipodal, eccentric and super - eccentric graphs are discussed.