On the generalized $\vartheta$-number and related problems for highly symmetric graphs

Lennart Sinjorgo, Renata Sotirov

This paper is an in-depth analysis of the generalized $\vartheta$-number of a graph. The generalized $\vartheta$-number, ${\vartheta }_k(G)$, serves as a bound for both the $k$-multic…