A connected graph $G$ is called {em nicely distance--balanced}, whenever there exists a positive integer $gamma=gamma(G)$, such that for any two adjacent vertices $u,v$ of $G$ there are exactly $gamma$ vertices of $G$ which are closer to $u$ than to $v$, and exactly $gamma$ vertices of $G$ which are closer to $v$ than to $u$. Let $d$ denote the diameter of $G$. It is known that $d le gamma$, and that nicely distance-balanced graphs with $gamma = d$ are precisely complete graphs and cycles of length $2d$ or $2d+1$. In this paper we classify regular nicely distance-balanced graphs with $gamma=d+1$.
连通图$G$被称为{em距离平衡}，只要存在一个正整数$gamma=gamma(G)$，使得对于$G$的任意两个相邻的点$u,v$，恰好有$gamma$的点$G$比$v$更接近$u$，恰好有$gamma$的点$G$比$u$更接近$v$。设$d$表示$G$的直径。众所周知，$d le gamma$和具有$gamma = d$的距离平衡图是完全图和长度为$2d$或$2d+1$的循环。本文用$gamma=d+1$对正则距离平衡图进行分类。
{"title":"On certain regular nicely distance-balanced graphs","authors":"Blas Fernandez, Štefko Miklavič, Safet Penjić","doi":"10.33044/revuma.2709","DOIUrl":"https://doi.org/10.33044/revuma.2709","url":null,"abstract":"A connected graph $G$ is called {em nicely distance--balanced}, whenever there exists a positive integer $gamma=gamma(G)$, such that for any two adjacent vertices $u,v$ of $G$ there are exactly $gamma$ vertices of $G$ which are closer to $u$ than to $v$, and exactly $gamma$ vertices of $G$ which are closer to $v$ than to $u$. Let $d$ denote the diameter of $G$. It is known that $d le gamma$, and that nicely distance-balanced graphs with $gamma = d$ are precisely complete graphs and cycles of length $2d$ or $2d+1$. In this paper we classify regular nicely distance-balanced graphs with $gamma=d+1$.","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136017372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Ext-algebra of the Brauer tree algebra associated to a line","authors":"Olivier Dudas","doi":"10.33044/revuma.2347","DOIUrl":"https://doi.org/10.33044/revuma.2347","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135493969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On conformal geometry of four-dimensional generalized symmetric spaces","authors":"Amirhesam Zaeim, Yadollah AryaNejad, Mokhtar Gheitasi","doi":"10.33044/revuma.2086","DOIUrl":"https://doi.org/10.33044/revuma.2086","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135787161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Convolution-factorable multilinear operators","authors":"Ezgi Erdoğan","doi":"10.33044/revuma.2356","DOIUrl":"https://doi.org/10.33044/revuma.2356","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135382661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Julián Hurtado-López, Andres Felipe Amador-Rodriguez, D. F. Ramirez-Moreno
{"title":"A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia","authors":"Julián Hurtado-López, Andres Felipe Amador-Rodriguez, D. F. Ramirez-Moreno","doi":"10.33044/revuma.2893","DOIUrl":"https://doi.org/10.33044/revuma.2893","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47820560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stabilizing radial basis functions techniques for a local boundary integral method","authors":"Luciano Ponzellini Marinelli","doi":"10.33044/revuma.2901","DOIUrl":"https://doi.org/10.33044/revuma.2901","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135115257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Global attractors in the parametrized Hénon–Devaney map","authors":"B. Leal, Sergio Muñoz","doi":"10.33044/revuma.2133","DOIUrl":"https://doi.org/10.33044/revuma.2133","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41796066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The affine log-Aleksandrov–Fenchel inequality","authors":"Chang-Jian Zhao","doi":"10.33044/revuma.2620","DOIUrl":"https://doi.org/10.33044/revuma.2620","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47173559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A generalization of the annihilating ideal graph for modules","authors":"Soraya Barzegar, S. Safaeeyan, E. Momtahan","doi":"10.33044/revuma.2158","DOIUrl":"https://doi.org/10.33044/revuma.2158","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47121832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Homogeneous weight enumerators over integer residue rings and failures of the MacWilliams identities","authors":"Jay A. Wood","doi":"10.33044/revuma.2807","DOIUrl":"https://doi.org/10.33044/revuma.2807","url":null,"abstract":"","PeriodicalId":54469,"journal":{"name":"Revista De La Union Matematica Argentina","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49503641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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