The b-chromatic number of power graphs of paths and cycles

• Main Author: San Diego, Immanuel T.
• Format: text
• Language: English
• Published: Animo Repository 2005
• Subjects: Paths and cycles (Graph theory)
• Online Access: https://animorepository.dlsu.edu.ph/etd_masteral/3289
• Institution: De La Salle University

Let G be a graph on the vertices n x x x ,..., , 2 1 . Its p-th power graph p G , has the same vertex set as G, with two distinct vertices of G adjacent in p G whenever there is a path of length at most p between them in G. The b-chromatic number of G, denoted by ) (G , is defined as the maximum num...