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Another conjecture of TxGraffiti concerning zero forcing and domination in graphs by Davila, Randy R. is a scholarly article available to read on EtoBox.

What is Another conjecture of TxGraffiti concerning zero forcing and domination in graphs about?

This paper proves a conjecture generated by the artificial intelligence conjecturing program called \emph{TxGraffiti}. More specifically, we show that if $G$ is a connected, cubic, and claw-free graph, then $Z(G) \le \gamma(G) + 2$, where $Z(G)$ and $\gamma(G)$ denote the zero forcing number and the domination number of $G$, respectively. Furthermore, we provide a complete characterization of graphs that achieve this bound. Notably, this bound improves the known upper bounds for the zero forcing number of connected, cubic, and claw-free graphs.

Author

Davila, Randy R.

Published

2024

Language

EN