Wiener Matrix Sequence, Hyper-Wiener Vector, Wiener Polynomial Sequence and Hyper-Wiener Polynomial of Bi-phenylene
نویسندگان
چکیده
The Wiener matrix and the hyper-Wiener number of a tree (acyclic structure), higher Wiener numbers of a tree that can be represented by a Wiener number sequence W, W,W.... whereW = W is the Wiener index, and R W k K ,.... 2 , 1 is the hyper-Wiener number. The concepts of the Wiener vector and hyper-Wiener vector of a graph are introduced for the molecular graph of bi-phenylene. Moreover, a matrix sequence W, W W,..., called the Wiener matrix sequence (or distance matrix sequence), and their sum H k K W W ,... 2 , 1 , called the hyperWiener matrix are computed, where D W 1 is the distance matrix, and the sum of the entries of upper triangle of W with respect to W ) is just equal to W K with respect toR. A Wiener polynomial sequence and a weighted hyperWiener polynomial of a graph are also determined for the molecular graph of bi-phenylene.
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