The sigma chromatic number of the Sierpinski gasket graphs and the Hanoi graphs

• Main Authors: Garciano, Agnes, Marcelo, Reginaldo M, Ruiz, Mari-Jo P, Tolentino, Mark Anthony C
• Format: text
• Published: Archīum Ateneo 2020
• Subjects: Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/123; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1122&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila University

A vertex coloring c : V(G) → of a non-trivial connected graph G is called a sigma coloring if σ(u) ≠ σ(v) for any pair of adjacent vertices u and v. Here, σ(x) denotes the sum of the colors assigned to vertices adjacent to x. The sigma chromatic number of G, denoted by σ(G), is defined as the fewes...