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This paper demonstrates that Neumaier graphs cannot have a coherent rank of 4 or 5 and introduces a new infinite family of Neumaier graphs with conjecturally infinitely many members having a coherent rank of 6. The authors also provide examples that affirmatively answer a question regarding the existence of Neumaier graphs whose nexus is not a power of 2. The findings contribute to the understanding of the coherent rank and structure of strictly Neumaier graphs.

Author
Chí Vũ
Language
EN

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