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Cages ($r$-regular graphs of girth $g$ and minimum order) and their variants have been studied for over seventy years. Here we propose a new variant, "weighted cages". We characterize their existence; for cases $g=3,4$ we determine their order; we gi
Externí odkaz:
http://arxiv.org/abs/2411.02705
A bipartite graph $G=(V,E)$ with $V=V_1\cup V_2$ is biregular if all the vertices of each stable set, $V_1$ and $V_2$, have the same degree, $r$ and $s$, respectively. This paper studies difference sets derived from both Abelian and non-Abelian group
Externí odkaz:
http://arxiv.org/abs/2404.04680
Publikováno v:
In Sedimentary Geology February 2024 460
A linear system is a pair $(P,\mathcal{L})$ where $\mathcal{L}$ is a family of subsets on a ground finite set $P$, such that $|l\cap l^\prime|\leq 1$, for every $l,l^\prime \in \mathcal{L}$. The elements of $P$ and $\mathcal{L}$ are called points and
Externí odkaz:
http://arxiv.org/abs/1903.08984
Publikováno v:
In animal May 2023 17(5)
Publikováno v:
In Procedia Computer Science 2023 223:308-315
Akademický článek
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Autor:
Badia-Cebada, L., Peñafiel, J., López-Contreras, J., Pomar, V., Martínez, J.A., Santana, G., Cuquet, J., Montero, M.M., Hidalgo-López, C., Andrés, M., Gimenez, M., Quesada, M.D., Vaqué, M., Iftimie, S., Gudiol, C., Pérez, R., Coloma, A., Marron, A., Barrufet, P., Marimon, M., Lérida, A., Clarós, M., Ramírez-Hidalgo, M.F., Garcia Pardo, G., Martinez, M.J., Chamarro, E.L., Jiménez-Martínez, E., Hornero, A., Limón, E., López, M., Calbo, E., Pujol, M., Gasch, O.
Publikováno v:
In Journal of Hospital Infection August 2022 126:70-77
We introduce the notion of a $[z, r; g]$-mixed cage. A $[z, r; g]$-mixed cage is a mixed graph $G$, $z$-regular by arcs, $r$-regular by edges, with girth $g$ and minimum order. In this paper we prove the existence of $[z, r ;g]$-mixed cages and exhib
Externí odkaz:
http://arxiv.org/abs/1702.07255
Autor:
Esteve-Pardo, G. *, De-Larriva, E., Salgado, A., Bernabeu-Esclapez, A., Bardaji, J.A., Esteve-Colomina, L. *
Publikováno v:
In Journal of Oral and Maxillofacial Surgery March 2022 80(3):490-500