منابع مشابه
Hosoya polynomials under gated amalgamations
An induced subgraph H of a graph G is gated if for every vertex x outside H there exists a vertex x ′ inside H such that each vertex y of H is connected with x by a shortest path passing through x . The gated amalgam of graphs G1 and G2 is obtained from G1 and G2 by identifying their isomorphic gated subgraphs H1 and H2. Two theorems on Hosoya polynomials of gated amalgams are provided. As thei...
متن کاملHosoya Indices of Bicyclic Graphs
Given a molecular graph G, the Hosoya index Z(G) of G is defined as the total number of the matchings of the graph. Let Bn denote the set of bicyclic graphs on n vertices. In this paper, the minimal, the second-, the third-, the fourth-, and the fifth-minimal Hosoya indices of bicyclic graphs in the set Bn are characterized.
متن کاملAlternating Sums in the Hosoya Polynomial Triangle
The Hosoya polynomial triangle is a triangular arrangement of polynomials where each entry is a product of two polynomials. The geometry of this triangle is a good 1 tool to study the algebraic properties of polynomial products. In particular, we find closed formulas for the alternating sum of products of polynomials such as Fibonacci polynomials, Chebyshev polynomials, Morgan-Voyce polynomials...
متن کاملThe Hosoya Entropy of a Graph
This paper demonstrates properties of Hosoya entropy, a quantitative measure of graph complexity based on a decomposition of the vertices linked to partial Hosoya polynomials. Connections between the information content of a graph and Hosoya entropy are established, and the special case of Hosoya entropy of trees is investigated.
متن کاملQuantum Information and Space - Time Akio Hosoya
A pedestrian description of possible connection between quantum information theory and relativity theory is given. I picked up topics of synchronization by entanglement and causality of completely positive maps in special relativity, while the problems of information loss in the black hole evaporation and the possible quantum state at the space-like singularities are briefly touched upon in gen...
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ژورنال
عنوان ژورنال: The Journal of Asian Studies
سال: 1996
ISSN: 0021-9118,1752-0401
DOI: 10.1017/s0021911800061416