Naslov
Relationship between the eccentric connectivity index and Zagreb indices

Autori
Das, K.C. ; Trinajstić, Nenad

Izvornik
Computers and mathematics with applications (0898-1221) 62 (2011), 4; 1758-1764

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
molecular graph; chemical tree; eccentric connectivity index (xi(C)); First Zagreb index (M(1)); Second Zagreb index (M(2))
(Molecular graph; Chemical tree; Eccentric connectivity index (xi(C)); First Zagreb index (M(1)); Second Zagreb index (M(2)))

Sažetak
For a (molecular) graph, the first Zagreb index M(1) is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M(2) is equal to the sum of the products of the degrees of pairs of adjacent vertices. If G is a connected graph with vertex set V (G), then the eccentric connectivity index of G, xi(C)(G), is defined as, Sigma(vi is an element of V(G)) d(i)e(i), where d(i) is the degree of a vertex v(i) and e(i) is its eccentricity. In this report we compare the eccentric connectivity index (xi(C)) and the Zagreb indices (M(1) and M(2)) for chemical trees. Moreover, we compare the eccentric connectivity index (xi(C)) and the first Zagreb index (M(1)) for molecular graphs.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

POVEZANOST RADA