Convertible subspaces that arise from different numberings of the vertices of a graph

In this paper, we describe subspaces of generalized Hessenberg matrices where the determinant is convertible into the permanent by affixing ± signs. These subspaces can arise from different numberings of the vertices of a graph. With this numbering process, we obtain some well-known sequences of integers. For instance, in the case of a path of length n, we prove that the number of these subspaces is the (n + 1)th Fibonacci number.info:eu-repo/semantics/publishedVersio

Book of Abstracts: International Workshop on Mathematics and Physical Sciences

This book-proceeding comprises the results of various comprehensive Mathematical and Physical Sciences-based studies accepted for presentation and discussion during the 1st Mathematical and Physical Sciences International Workshop in Évora, in 2023 (Mat- Phys23). The MatPhys23, organized under the auspices of University of Évora throughout the CIMA - Research Center in Mathematics and Applications, the ICT - Institute of Earth Sciences and the NOVA-LINCS - NOVA Laboratory for Informatics and Computer Science (Évora branch). This Workshop brought together many well-known mathematicians, physicists and engineers from University of Beira Interior (UBI, Portugal), University of Cabo Verde (UCV, Cabo Verde), Montclair State University (MSU, NJ, USA) and University of Évora (UÉ, Portugal). This book-proceeding volume involves 24 abstracts on the latest trending and significant challenges in mathematics and physical sciences. The works presented focus on the following areas: statistical and mathematical methods that are relevant to biology, medical and biomedical sciences, computer science, economics, social sciences, music, environmental sciences, climatology, engineering, industry, fluid mechanics and their applications, numerical simulations in various physical, geophysical, chemical, biological and engineering applications. In addition to the usual scientific interaction between participants, this meeting has the presence of PhD students, which we consider relevant. Considering the original contents, aims, and methodologies of all these valuable studies, it is believed that the topical outputs are of interest to all researchers, practitioners, and students and would mainly provide new scientific insights and knowledge for geoscientists and engineers.CIMA-Centro de Investigação em Matemática e Aplicações; ICT-Instituto de Ciências da Terra; NOVALINC