TY - JOUR
ID -
TI - A General Formula for Characteristic Polynomials of Some Special Graphs
AU - Nawras A. Alwan
AU - Nadia M. G. Al-Saidi
PY - 2016
VL - 34
IS - 5 Part (B) Scientific
SP - 638
EP - 650
JO - Engineering and Technology Journal مجلة الهندسة والتكنولوجيا
SN - 16816900 24120758
AB -
The calculation of characteristic polynomials (Ch. Poly.) of graphs of any size, especially for the large number of vertices n is an extremely tedious problem if used the traditional methods, so in this paper, the general formulas of the characteristic polynomial of some graphs, such as, path, complete, circle and star graphs are introduced. It is constructed based on adjacency and Laplacian matrices. The efficiency of the proposed method is demonstrated in terms of complexity to show an improvement over traditional methods.
ER -