On the Rainbow Mean Indexes of Caterpillars

• Main Authors: Garciano, Agnes, Marcelo, Reginaldo M, Ruiz, Mari-Jo P, Tolentino, Mark Anthony C
• Format: text
• Published: Archīum Ateneo 2023
• Subjects: brooms; caterpillars; double brooms; double stars; rainbow mean coloring; rainbow mean index; Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/247; https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1548/1511
• Institution: Ateneo De Manila University

Let G be a simple connected graph and c an edge coloring with colors that are positive integers. Given a vertex v of G, we define its chromatic mean, denoted by cm(v), as the average of the colors of the incident edges. If cm(v) is an integer for each v ∈ V (G) and distinct vertices have distinct ch...