On the Sigma Chromatic Number of the Zero-Divisor Graphs of the Ring of Integers Modulo n

• Main Authors: Garciano, Agnes, Marcelo, Reginaldo M, Ruiz, Mari-Jo P, Tolentino, Mark Anthony C
• Format: text
• Published: Archīum Ateneo 2021
• Subjects: zero-divisor graphs; sigma coloring; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/161; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1164&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila University

The zero-divisor graph of a commutative ring R with unity is the graph Γ(R) whose vertex set is the set of nonzero zero divisors of R; where two vertices are adjacent if and only if their product in R is zero. A vertex coloring c : V (G) → Bbb N of a non-trivial connected graph G is called a sigma c...