Representations, Translations and Reductions for Ternary Semihypergroups

Autor: Anak Nongmanee, Sorasak Leeratanavalee

Publikováno v: Axioms, Vol 11, Iss 11, p 626 (2022)

The concept of ternary semihypergroups can be considered as a natural generalization of arbitrary ternary semigroups. In fact, each ternary semigroup can be constructed to a ternary semihypergroup. In this article, we investigate some interesting alg

Externí odkaz: https://doaj.org/article/d1bf1210296742c3ad507ff9af7cb4e9

Una Demostración del Teorema de Cayley para Grupos

Autor: Irene Edith Núñez Rodriguez, Neisser Pino Romero, Carlos Mejía Alemán

Publikováno v: Selecciones Matemáticas; Vol. 8 Núm. 01 (2021): Enero-Julio; 93-99
Selecciones Matemáticas; Vol. 8 No. 01 (2021): January-July; 93-99
Selecciones Matemáticas; v. 8 n. 01 (2021): Janeiro-julho; 93-99
Revistas Universidad Nacional de Trujillo
Universidad Nacional de Trujillo
instacron:UNITRU

In this work, we will prove Cayley theorem, using category theory. We will see a different proof than theone seen in a Group Theory course, in this case we will use a famous result in category theory called theYoneda lemma and then, to relate groups

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce83d16eb7aea65bea7ee7e1d4355b9e
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3706

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Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

Autor: Roman Nedela, Ilia Ponomarenko

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030328078

We construct a polynomial-time algorithm that given a graph $X$ with $4p$ vertices ($p$ is prime), finds (if any) a Cayley representation of $X$ over the group $C_2\times C_2\times C_p$. This result, together with the known similar result for circula

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e747ecded7fc7e4938738503c04a5e89
https://doi.org/10.1007/978-3-030-32808-5

On constructing normal and non-normal Cayley graphs

Autor: Yian Xu

Publikováno v: Discrete Mathematics. 340:2972-2977

Bamberg and Giudici (2011) showed that the point graphs of certain generalised quadrangles of order ( q − 1 , q + 1 ) , where q = p k is a prime power with p ≥ 5 , are both normal and non-normal Cayley graphs for two isomorphic groups. We call th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d3d235a604775a64284c1189bff68963
https://doi.org/10.1016/j.disc.2017.07.018