Group inverses of matrices of simple symmetric directed graphs

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dc.contributor.author Nandi, Raju
dc.coverage.spatial United States of America
dc.date.accessioned 2023-12-28T16:49:20Z
dc.date.available 2023-12-28T16:49:20Z
dc.date.issued 2023-12
dc.identifier.citation Nandi, Raju, "Group inverses of matrices of simple symmetric directed graphs", arXiv, Cornell University Library, DOI: arXiv:2312.08691, Dec. 2023.
dc.identifier.issn 2331-8422
dc.identifier.uri https://doi.org/10.48550/arXiv.2312.08691
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/9604
dc.description.abstract A new class of simple symmetric digraphs called D is defined and studied here. Any digraph in D has the property that each non-pendant is adjacent to at least one pendant vertex. A graph theoretical description for the entries of the group inverse of a real square matrix A with any digraph belonging to this class is given. We classify all the real square matrix A such that the digraphs associated with A and A# both are in D, that is the digraph related to A is either a corona or a star digraph.
dc.description.statementofresponsibility by Raju Nandi
dc.language.iso en_US
dc.publisher Cornell University Library
dc.title Group inverses of matrices of simple symmetric directed graphs
dc.type Article
dc.relation.journal arXiv


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