Vol. 36 (2026)
Articles

Symmetric tensor powers of graphs

Weymar Astaiza
Departamento de Matemáticas, Universidad del Cauca
Alexander J. Barrios
Department of Mathematics University of St. Thomas
Henry Chimal-Dzul
University of Texas at San Antonio
Stephan Ramon García
Pomona College
Jaaziel Lopez de la Luz
Department of Mathematics, UC Irvine
Victor H. Moll
Department of Mathematics, Tulane University
Yunied Puig
Lafayette College
Diego Villamizar
Department of Mathematics Xavier University of Louisiana

Published 2025-02-09

DOI:

https://doi.org/10.71712/vtk1-mg46

Keywords

  • Graph,
  • Kronecker product,
  • tensor product,
  • symmetric tensor product

How to Cite

Astaiza, W. ., Barrios, A. J. ., Chimal-Dzul, H. ., García, S. R., Lopez de la Luz, J. ., Moll, V. H., & Villamizar, D. . (2025). Symmetric tensor powers of graphs (Y. . Puig, Trans.). Scientia Series A: Mathematical Sciences, 36, 13-35. https://doi.org/10.71712/vtk1-mg46

Abstract

We introduce the symmetric tensor power of graphs and explore the fundamental properties of this operation. A wide range of intriguing phenomena occur when one considers symmetric tensor powers of familiar graphs. We conclude with a host of open questions that we hope will spur future research.

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