Let G be a simple connected graph. The first and second Zagreb indices have been introduced as vV(G) (v)2 M1(G) degG and M2(G) uvE(G)degG(u)degG(v) , respectively, where degG v(degG u) is the degree of vertex v (u) . In this paper, we define a new distance-based named HyperZagreb as e uv E(G) . (v))2 HM(G) (degG(u) degG In this paper, the HyperZagreb index of the Cartesian product, composition, join and disjunction of graphs are computed.
SHIRDEL,G H., REZAPOUR,H and SAYADI,A M.. (2013). The Hyper-Zagreb Index of Graph Operations. Iranian Journal of Mathematical Chemistry, 4(2), 213-220. doi: 10.22052/ijmc.2013.5294
MLA
SHIRDEL,G H., , REZAPOUR,H , and SAYADI,A M.. "The Hyper-Zagreb Index of Graph Operations", Iranian Journal of Mathematical Chemistry, 4, 2, 2013, 213-220. doi: 10.22052/ijmc.2013.5294
HARVARD
SHIRDEL G H., REZAPOUR H, SAYADI A M.. (2013). 'The Hyper-Zagreb Index of Graph Operations', Iranian Journal of Mathematical Chemistry, 4(2), pp. 213-220. doi: 10.22052/ijmc.2013.5294
CHICAGO
G H. SHIRDEL, H REZAPOUR and A M. SAYADI, "The Hyper-Zagreb Index of Graph Operations," Iranian Journal of Mathematical Chemistry, 4 2 (2013): 213-220, doi: 10.22052/ijmc.2013.5294
VANCOUVER
SHIRDEL G H., REZAPOUR H, SAYADI A M.. The Hyper-Zagreb Index of Graph Operations. Iranian J. Math. Chem.. 2013;4(2):213-220. doi: 10.22052/ijmc.2013.5294