In this paper we introduce p-petal graphs. We prove that the necessary and sufficient condition for a planar p-petal graph G is that G has even number of petals each of size three. We also characterize the planar partial p-petal graphs. © 2012 Academic Publications, Ltd.

Selvakumar R

Department of Mathematics

School of Advanced Sciences

Vellore Campus

V. Kolappan

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Journal	International Journal of Pure and Applied Mathematics
ISSN	13118080