Symmetric tensor powers of graphs | Scientia Series A: Mathematical Sciences

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Published: 2025-02-09

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

Keywords:

Graph, Kronecker product, tensor product, symmetric tensor product

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

Diego Villamizar

Department of Mathematics Xavier University of Louisiana

Yunied Puig

Lafayette College

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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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

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

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