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In this paper, the polynomial for three infinite classes of fullerenes is computed. Keywords: Fullerene, modified eccentric connectivity polynomial, eccentric connectivity polynomial. The radius and diameter of G are defined as the minimum and A topological index is a graphic invariant used in a struc- maximum eccentricity among vertices of G, respectively. Here for arbitrary vertices x and y, the distance where nG a is the sum of the degrees of the neighbors of ver- d x,y is defined as the length of a minimal path connecting tex a. As a result, MEC index is the first derivative of this [1] x and y. For example, if Kn denotes the com- logical index. They are carbon- Throughout this paper, we use standard notation taken cage molecules in which a number of carbon atoms are mainly from a standard book of graph theory.

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The radius and diameter of G are defined as the minimum and A topological index is a graphic invariant used in a struc- maximum eccentricity among vertices of G, respectively. Here for arbitrary vertices x and y, the distance where nG a is the sum of the degrees of the neighbors of ver- d x,y is defined as the length of a minimal path connecting tex a.

As a result, MEC index is the first derivative of this [1] x and y.

For example, if Kn denotes the com- logical index. They are carbon- Throughout this paper, we use standard notation taken cage molecules in which a number of carbon atoms are mainly from a standard book of graph theory.

Basic compu- bonded in a nearly spherical configuration. For a given tational techniques and background materials can be found fullerene, F, let p, h, n and m be the number of pentagons, in the references. Because each atom lies in exactly three faces and each edge lies in 2.

This outcome implies that molecules of this type, which are made entirely of n carbon Lemma 1. For Sharma, Goswami and Madan. Ashrafi et al. Figure 1 confirms the possibility of the vertex set Corollary 3.

Then 2 being partitioned into three subsets: A, B and C. Therefore, MEC polynomials.

Theorem 4. Figure 4 shows that there are two types of vertices: With these calculations and Figure 2, the theorem 2 is proved.

Obviously, we have: With these calculations and Figure 3, the theorem is proved. Some exceptional cases are given in Table 2. Corollary 5. Theorem 6. Obviously, we have: Vertices ecc x No. Some exceptional cases are given in Table 3: Corollary 7.

Table 3.

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