Consult the book Graph theory and Feynman integrals (Gordon and Breach, New York, 1971), by Noboru Nakanishi. The number of Feynman graphs, their combinatorics, is dealt with in Chapter 5, Sec. 23, of this book. Related to this, the subject of Knots and Feynman Diagrams is considered by Dirk Kreimer (Cambridge University Press, 2000).

Thank you Professor Behnam Farid. Let me refer the book you suggested.

You are welcome Sudev.

Dear Dr. Sudev,

Please see the attachment. From http://arxiv.org/pdf/0911.5217.pdf

and from http://www.cs.yale.edu/homes/spielman/PAPERS/SGTChapter.pdf

Thank you Professor Wiwat..

Thank you Prof. Sudev.

Dear Sudev

If you give some details of your problem -I will help u.

With best wishes 

Rath

Thank you Prof.  Biswanath Rath.  I will contact you personally for further discussion.