{"title":"多路运输网络中的通信","authors":"Silvia Noschese, Lothar Reichel","doi":"arxiv-2409.05575","DOIUrl":null,"url":null,"abstract":"Complex networks are made up of vertices and edges. The edges, which may be\ndirected or undirected, are equipped with positive weights. Modeling complex\nsystems that consist of different types of objects leads to multilayer\nnetworks, in which vertices in distinct layers represent different kinds of\nobjects. Multiplex networks are special vertex-aligned multilayer networks, in\nwhich vertices in distinct layers are identified with each other and\ninter-layer edges connect each vertex with its copy in other layers and have a\nfixed weight $\\gamma>0$ associated with the ease of communication between\nlayers. This paper discusses two different approaches to analyze communication\nin a multiplex. One approach focuses on the multiplex global efficiency by\nusing the multiplex path length matrix, the other approach considers the\nmultiplex total communicability. The sensitivity of both the multiplex global\nefficiency and the multiplex total communicability to structural perturbations\nin the network is investigated to help to identify intra-layer edges that\nshould be strengthened to enhance communicability.","PeriodicalId":501162,"journal":{"name":"arXiv - MATH - Numerical Analysis","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Communication in Multiplex Transportation Networks\",\"authors\":\"Silvia Noschese, Lothar Reichel\",\"doi\":\"arxiv-2409.05575\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Complex networks are made up of vertices and edges. The edges, which may be\\ndirected or undirected, are equipped with positive weights. Modeling complex\\nsystems that consist of different types of objects leads to multilayer\\nnetworks, in which vertices in distinct layers represent different kinds of\\nobjects. Multiplex networks are special vertex-aligned multilayer networks, in\\nwhich vertices in distinct layers are identified with each other and\\ninter-layer edges connect each vertex with its copy in other layers and have a\\nfixed weight $\\\\gamma>0$ associated with the ease of communication between\\nlayers. This paper discusses two different approaches to analyze communication\\nin a multiplex. One approach focuses on the multiplex global efficiency by\\nusing the multiplex path length matrix, the other approach considers the\\nmultiplex total communicability. The sensitivity of both the multiplex global\\nefficiency and the multiplex total communicability to structural perturbations\\nin the network is investigated to help to identify intra-layer edges that\\nshould be strengthened to enhance communicability.\",\"PeriodicalId\":501162,\"journal\":{\"name\":\"arXiv - MATH - Numerical Analysis\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Numerical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.05575\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Numerical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05575","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Communication in Multiplex Transportation Networks
Complex networks are made up of vertices and edges. The edges, which may be
directed or undirected, are equipped with positive weights. Modeling complex
systems that consist of different types of objects leads to multilayer
networks, in which vertices in distinct layers represent different kinds of
objects. Multiplex networks are special vertex-aligned multilayer networks, in
which vertices in distinct layers are identified with each other and
inter-layer edges connect each vertex with its copy in other layers and have a
fixed weight $\gamma>0$ associated with the ease of communication between
layers. This paper discusses two different approaches to analyze communication
in a multiplex. One approach focuses on the multiplex global efficiency by
using the multiplex path length matrix, the other approach considers the
multiplex total communicability. The sensitivity of both the multiplex global
efficiency and the multiplex total communicability to structural perturbations
in the network is investigated to help to identify intra-layer edges that
should be strengthened to enhance communicability.