The null set of the join of paths

• Main Authors: Eniego, Arnold A, Garces, Ian June L
• Format: text
• Published: Archīum Ateneo 2019
• Subjects: Join of paths; k-magic graphs; null set; zero-sum k-magic labeling; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/122; https://www.worldscientific.com/doi/abs/10.1142/S1793557119500608
• Institution: Ateneo De Manila University

For positive integer k, a graph G is said to be k-magic if the edges of G can be labeled with the nonzero elements of Abelian group ℤ k, where ℤ 1= ℤ (the set of integers) and ℤ k is the group of integers mod k≥ 2, so that the sum of the labels of the edges incident to any vertex of G is the same. W...