Direct products of cyclic monoids admitting outerplanar Cayley graphs and their generalizations
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2023), pp. 43-56
Cet article a éte moissonné depuis la source Math-Net.Ru
Direct products of cyclic monoids admitting a outerplanar and generalized outerplanar Cayley Graph are described.
Keywords:
monoid, Cayley graph of a semigroup, outerplanar graph, direct product.
@article{VTPMK_2023_4_a2,
author = {D. V. Solomatin},
title = {Direct products of cyclic monoids admitting outerplanar {Cayley} graphs and their generalizations},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {43--56},
year = {2023},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a2/}
}
TY - JOUR AU - D. V. Solomatin TI - Direct products of cyclic monoids admitting outerplanar Cayley graphs and their generalizations JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2023 SP - 43 EP - 56 IS - 4 UR - http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a2/ LA - ru ID - VTPMK_2023_4_a2 ER -
%0 Journal Article %A D. V. Solomatin %T Direct products of cyclic monoids admitting outerplanar Cayley graphs and their generalizations %J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika %D 2023 %P 43-56 %N 4 %U http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a2/ %G ru %F VTPMK_2023_4_a2
D. V. Solomatin. Direct products of cyclic monoids admitting outerplanar Cayley graphs and their generalizations. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 4 (2023), pp. 43-56. http://geodesic.mathdoc.fr/item/VTPMK_2023_4_a2/
[1] Solomatin D. V., “Direct products of cyclic monoids and semigroups with zero admitting planar Cayley graphs”, Mathematics and Computer Science: Science and Education, 5 (2006), 51–64 (in Russian) | MR
[2] Sedláček J., “On a generalization of outerplanar graphs”, Časopis pro pěstování matematiky, 113:2 (1988), 213–218 | MR | Zbl
[3] Martynov P. O., Solomatin D. V., “Finite free commutative semigroups and semigroups with zero admitting generalized outer-planar Cayley graphs”, Herald of Omsk university, 3:73 (2014), 22–26 (in Russian)