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Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2831118219

Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

About this item

Full title

Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-06

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

Given a connected graph \(G\), the total mutual-visibility number of \(G\), denoted \(\mu_t(G)\), is the cardinality of a largest set \(S\subseteq V(G)\) such that for every pair of vertices \(x,y\in V(G)\) there is a shortest \(x,y\)-path whose interior vertices are not contained in \(S\). Several combinatorial properties, including bounds and clo...

Alternative Titles

Full title

Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2831118219

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2831118219

Other Identifiers

E-ISSN

2331-8422

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