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Information Seminar Paper

Title

AVERAGE DISTANCE OF INFINITE CLASS OF (3,6)-FULLERENE GRAPHS

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 Start Page | End Page

Abstract

 SUPPOSE F BE A (3, 6) -FULLERENE GRAPH WITH N VERTICES, NAMELY A PLANAR 3-REGULAR GRAPH HAVE TRIAGONAL AND HEXAGONAL FACES. WE KNOW FROM EULER’S FORMULA, NUMBER OF TRIANGLE IN THESE GRAPHS BE FOUR. DIASTANCE BETWEEN TWO X AND Y VERTICES BE LENGTH OF SHORTEST PATH BETWEEN X AND Y, AND HAS BEEN SHOWN D(X,Y). CONSIDERW (F) BE HALF SUM OF DISTANCES BETWEEN VERTICES EXCLUSIVELY AND DEFINE AVERAGE OF DISTANCE OF F BE (FORMULA). GENERALLY THIS INVARIANT PROBLEM IN FULLERENE GRAPHS BE UNSOLVED. IN THIS PAPER WE CONSIDER AN INFIINITE CLASS OF (3, 6) -FULLERENE GRAPH WITH 8N VERTICES AND COMPUTE AVERAGE DISTANCE OF THEM. BY THIS VALUE, WE PRESENT SOME BOUND OF INVARIANT OF THIS GRAPHS.

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