Mutual-visibility number equals 20 in the Hoffman-Singleton graph; algebraic conditions and exact values are given for small-defect (d,2)-graphs.
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3 Pith papers cite this work. Polarity classification is still indexing.
fields
math.CO 3years
2025 3verdicts
UNVERDICTED 3representative citing papers
Introduces the visibility polynomial based on mutual-visibility sets and derives explicit forms or properties for cycles, joins, and standard graph families.
Derives closed-form visibility polynomials for several graph classes by characterizing their mutual-visibility sets.
citing papers explorer
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Mutual visibility in Moore graphs and $(d,2)$-graphs with defect
Mutual-visibility number equals 20 in the Hoffman-Singleton graph; algebraic conditions and exact values are given for small-defect (d,2)-graphs.
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On the Visibility Polynomial of Graphs
Introduces the visibility polynomial based on mutual-visibility sets and derives explicit forms or properties for cycles, joins, and standard graph families.
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Visibility Polynomial of Some Graph Classes
Derives closed-form visibility polynomials for several graph classes by characterizing their mutual-visibility sets.