Order nine MMIK graphs
Thomas W. Mattman, Chris Morris, and Jody Ryker
TL;DR
This paper precisely classifies all minor minimal intrinsically knotted graphs with nine vertices, establishing that exactly eight such graphs exist.
Contribution
It provides a complete enumeration and characterization of all order nine MMIK graphs, resolving a specific case in graph theory.
Findings
Exactly eight MMIK graphs of order nine identified
Complete classification of order nine MMIK graphs achieved
Advances understanding of intrinsically knotted graphs
Abstract
We show that there are exactly eight MMIK (minor minimal intrinsically knotted) graphs of order nine.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · graph theory and CDMA systems