Integral topological indices

Abstract: In this talk, mathematical properties of the so-called integral topological indices are presented, which represent a generalization of the classical topological indices (Randic, Zagred, Adriaticos, Albertson, Sombor, etc). These classic indices have been widely studied, essentially, due to their multiple theoretical-practical applications in different branches of knowledge such as: physics, chemistry, biology, computing, etc.

Semblance: Dr. José M. Sigarreta is originally from Cuba, he completed his Bachelor's studies in Mathematics Education at the University of Pedagogical Sciences of Holguín and the specialty in Advanced Mathematics at the ISPJAM-UPV in Cuba-Spain. He has two master's degrees: Master of Science (Applied Mathematics) and Master of Science (Mathematics Methodology). Doctor in Sciences (Mathematics Methodology) granted by the Commission of Scientific Degrees of the Republic of Cuba, Doctor in Mathematics granted by DGESU, SEP, Mexico. Doctor of Science (Mathematics Engineering) from the University of Carlos III of Madrid, Spain. Full-time Research Professor C in the Faculty of Mathematics of the Autonomous University of Guerrero and is a member of the Academic Nuclei and founder of the postgraduate courses: Master's Degree in Mathematical Sciences (PNPC), Master's Degree in Educational Mathematics (PNPC), Doctorate in Mathematics Education (PNPC) and PhD in Mathematics. In addition, he is the Coordinator of the Graduate Program in Mathematical Sciences. Dr. José M. Sigarreta is a member of the SNI-Level III of Area I and Desirable Profile PRODEP-SEP. He leads the research group on Discrete-Fractional Mathematics. He is a member of Editorial Committees or guest editor of several National and International Magazines. He is a Reviewer for Mathematical Reviews and of more than 100 articles in 50 international journals. As part of his consolidation as a researcher, he has carried out research stays as a visiting professor at various national and international universities in the USA, Latin America and Europe. His lines of research are Discrete Mathematics, Fractional Mathematics and Methodology of Mathematics. He has evaluated 14 national and 8 international projects for CONACYT, COCYTEG, COMECYT, UAN Colombia, Cuba, Science Fund of Austria, etc. He has participated in 9 national and 8 international projects. He has been responsible for 6 research projects. He has supervised 15 undergraduate students, 25 masters, 12 doctoral students and 2 postdocs. Currently, he is directing 3 master's theses, 4 doctoral theses and a post-doctorate. He is the author/co-author of more than 250 scientific publications.