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Information Seminar Paper

Title

REPLACEMENT PRODUCT OF TWO CAYLEY GRAPHS

Writers

LOGHMAN AMIR

Pages

 Start Page | End Page

Abstract

 LET G BE A GROUP GENERATED BY A FINITE SET S. ASSUME THAT S IS SYMMETRIC, NAMELY S=S-1. THE CAYLEY GRAPH X=C (G, S) IS DEFINED AS FOLLOWS. VERTICES OF X ARE ELEMENTS IN G AND TWO VERTICESG1; G2 2 G ARE ADJACENT IF G1=G2S FOR SOME S 2 S. ALSO LET G1 BE AN (N, K) -GRAPH AND LET G2 BE A (K, K’) -GRAPH WITH V (G2) = [K] = (FORMULA) AND FIX A RANDOMLY NUMBERING JG1 OF G1. THE REPLACEMENT PRODUCT (FORMULA) IS THE GRAPH WHOSE VERTEX SET IS (FORMULA) AND THERE IS AN EDGE BETWEEN VERTICES(V, K) AND (W, L) WHENEVER V=W AND (FORMULA) AND JW G(V) =L. IN THIS NOTE WE STUDY THESE NEW PRODUCT OF GRAPHS AND COMPUTE CAYLEY GRAPH OF SOME NANOSTRUCTURE.

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