On the Spectra of Underlying Complete Split Multigraphs

Complete split graphs are threshold graphs that have all nodes in the indepedent set adjacent to all nodes in the clique. In 2002, Hansen et. al. presented criteria for complete split graphs that have integral spectra for their adjacency matrix. We explore spectra of multigraphs that are underlying complete split for some of the matrices associated with graphs. This is joint work with various undergraduate mathematics majors at Seton Hall University.

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Publication Details

Journal
International Journal of Computational and Applied Mathematics & Computer Science
Published
2025-08-04
DOI
https://doi.org/10.37394/232028.2025.5.5
Citations
1
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
1.50
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article

On the Spectra of Underlying Complete Split Multigraphs

John T. Saccoman, Michael Catli, Joseph Kajon
1 citations
International Journal of Computational and Applied Mathematics & Computer Science
Graph Labeling and Dimension Problems
1.50
article

On the Spectra of Underlying Complete Split Multigraphs

John T. Saccoman, Michael Catli, Joseph Kajon
article en
1 citations

Abstract

Complete split graphs are threshold graphs that have all nodes in the indepedent set adjacent to all nodes in the clique. In 2002, Hansen et. al. presented criteria for complete split graphs that have integral spectra for their adjacency matrix. We explore spectra of multigraphs that are underlying complete split for some of the matrices associated with graphs. This is joint work with various undergraduate mathematics majors at Seton Hall University.

International Journal of Computational and Applied Mathematics & Computer ScienceVol. 5
Seton Hall University (US)
Openalex Percentile: Top 14%
Graph Labeling and Dimension Problems
1.50
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