On the square of an oriented graph conjecture

• Main Authors: Campena, Francis Joseph H., Macariola, Francesca, Serapio, Abbygail
• Format: text
• Published: Animo Repository 2016
• Subjects: Graph theory; Directed graphs; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/13458
• Institution: De La Salle University

In 1993, Paul Seymour posed the problem that for every oriented graph G there exist a vertex whose out-degree at least doubles when you square the oriented graph; that is, if G = (V (G), A(G)) and denote δ+G (x) to be the out-degree of vertex x in the graph G, then there exists x ∈ (G) such that δ+(...