Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4651625 | Electronic Notes in Discrete Mathematics | 2015 | 6 Pages |
Abstract
Let G be a graph formed by connecting a tree and a threshold graph with an edge between their respective roots. Let A be the adjacency matrix of G and x∈R. We give an O(n) algorithm for constructing a diagonal matrix D congruent to A+xIn, allowing us to locate eigenvalues of A and obtain spectral results.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics