{"title":"加厚树木的度分布","authors":"M. Drmota, Bernhard Gittenberger, A. Panholzer","doi":"10.46298/DMTCS.3561","DOIUrl":null,"url":null,"abstract":"We develop a combinatorial structure to serve as model of random real world networks. Starting with plane oriented recursive trees we substitute the nodes by more complex graphs. In such a way we obtain graphs having a global tree-like structure while locally looking clustered. This fits with observations obtained from real-world networks. In particular we show that the resulting graphs are scale-free, that is, the degree distribution has an asymptotic power law.","PeriodicalId":55175,"journal":{"name":"Discrete Mathematics and Theoretical Computer Science","volume":"1 1","pages":"149-162"},"PeriodicalIF":0.7000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"The Degree Distribution of Thickened Trees\",\"authors\":\"M. Drmota, Bernhard Gittenberger, A. Panholzer\",\"doi\":\"10.46298/DMTCS.3561\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop a combinatorial structure to serve as model of random real world networks. Starting with plane oriented recursive trees we substitute the nodes by more complex graphs. In such a way we obtain graphs having a global tree-like structure while locally looking clustered. This fits with observations obtained from real-world networks. In particular we show that the resulting graphs are scale-free, that is, the degree distribution has an asymptotic power law.\",\"PeriodicalId\":55175,\"journal\":{\"name\":\"Discrete Mathematics and Theoretical Computer Science\",\"volume\":\"1 1\",\"pages\":\"149-162\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics and Theoretical Computer Science\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.46298/DMTCS.3561\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics and Theoretical Computer Science","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.46298/DMTCS.3561","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We develop a combinatorial structure to serve as model of random real world networks. Starting with plane oriented recursive trees we substitute the nodes by more complex graphs. In such a way we obtain graphs having a global tree-like structure while locally looking clustered. This fits with observations obtained from real-world networks. In particular we show that the resulting graphs are scale-free, that is, the degree distribution has an asymptotic power law.
期刊介绍：
DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network.
Sections of DMTCS
Analysis of Algorithms
Automata, Logic and Semantics
Combinatorics
Discrete Algorithms
Distributed Computing and Networking
Graph Theory.
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