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THE ZAGREB INDICES OF BIPARTITE GRAPHS WITH MORE EDGES
THE ZAGREB INDICES OF BIPARTITE GRAPHS WITH MORE EDGES
Journal of applied mathematics & informatics. 2015. May, 33(3_4): 365-377
  • Received : October 15, 2014
  • Published : May 30, 2015
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XU KEXIANG
TANG KECHAO
LIU HONGSHUANG
WANG JINLAN

Abstract
For a (molecular) graph, the first and second Zagreb indices (M<sub>1</sub> and M<sub>2</sub>) are two well-known topological indices, first introduced in 1972 by Gutman and Trinajsti&#x0107;. The first Zagreb index M<sub>1</sub> is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M<sub>2</sub> is equal to the sum of the products of the degrees of pairs of adjacent vertices. Let <TEX>$K_{n_1,n_2}^{P}$</TEX> with n<sub>1</sub> <TEX>$\leq$</TEX> n<sub>2</sub>, n<sub>1</sub> + n<sub>2</sub>
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