In this paper we present a simple algorithm for calculating the maximal value of the second Zagreb index for trees with prescribed number of vertices of given degree. The user needs only to input values n1, n 2,...,nδ where ni is the number of vertices of degree i. The algorithm outputs the edge connectivity values m ij as well as the maximal value of the second Zagreb index. The complexity of the algorithm is proportional to Δ3, where Δ is maximal degree. Since complexity is independent of the number of vertices, for chemical trees that have Δ ≤ 4 the algorithm works in constant time no matter how large the molecule is.
|Original language||English (US)|
|Number of pages||6|
|State||Published - 2008|
All Science Journal Classification (ASJC) codes
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics