Vector coloring the categorical product of graphs

• Main Authors: Godsil, Chris, Roberson, David E., Rooney, Brendan, Šámal, Robert, Varvitsiotis, Antonios
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Vector Coloring; Lovász ϑ Number
• Online Access: https://hdl.handle.net/10356/142847
• Institution: Nanyang Technological University

A vector t-coloring of a graph is an assignment of real vectors p1, … , pn to its vertices such that piTpi=t-1, for all i= 1 , … , n and piTpj≤-1, whenever i and j are adjacent. The vector chromatic number of G is the smallest number t≥ 1 for which a vector t-coloring of G exists. For a graph H and...