JOURNAL ARTICLE

Direct sum graph of the subspaces of a finite-dimensional vector space over finite fields.

  • Published In: Discrete Mathematics, Algorithms & Applications, 2025, v. 17, n. 5. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Wani, Bilal A.; Altaf, Aaqib; Pirzada, S.; Chishti, T. A. 3 of 3

Abstract

In this paper, we study a new graph structure, called the direct sum graph on a finite-dimensional vector space. We investigate the connectivity, diameter and the completeness of Γ U ⊕ W (). We also determine the degree of each vertex in case the base field is finite. We establish some results about Eulerian and triangulation of the graph Γ U ⊕ W (). Finally, we find the domination number and independence number, size, girth, edge-connectivity, clique number and the chromatic number of Γ U ⊕ W (). [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Discrete Mathematics, Algorithms & Applications. 2025/07, Vol. 17, Issue 5, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2025
  • ISSN:1793-8309
  • DOI:10.1142/S1793830924500745
  • Accession Number:186087138
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