Weighted cages.

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Bibliographic Details
Title: Weighted cages.
Authors: Araujo-Pardo, G.1 (AUTHOR) garaujo@im.unam.mx, De la Cruz, C.1,2 (AUTHOR) clau_mar@ciencias.unam.mx, Matamala, M.1,3 (AUTHOR) mar.mat.vas@dim.uchile.cl, Pizaña, M.A.1,2 (AUTHOR) mpizana@gmail.com
Source: Discrete Applied Mathematics. May2026, Vol. 384, p293-308. 16p.
Subjects: Regular graphs, Graph theory, Mathematics
Abstract: 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 give Moore-like bounds and present some computational results. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract: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 give Moore-like bounds and present some computational results. [ABSTRACT FROM AUTHOR]
ISSN:0166218X
DOI:10.1016/j.dam.2025.12.047