{"title":"Drawing labelled directed binary graphs on a grid","authors":"R. I. Becker, S. Schach","doi":"10.1145/503896.503903","DOIUrl":null,"url":null,"abstract":"A directed graph in which there is a bound for the degrees of the vertices is called labelled i f each edge is assigned a label from a f in i te set of labels, the edges emerging from a given vertex al l having distinct labels. Knuth [2] gives a wellknown transformation to represent an arbitrary rooted tree by means of a labelled binary tree. (He calls each edge either a \"brother\" or a \"son\", so the label set is {brother, son}) . The binary tree contains al l information of the original tree, and the lat ter can be reconstructed from the former.","PeriodicalId":184493,"journal":{"name":"ACM-SE 20","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1982-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM-SE 20","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/503896.503903","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
A directed graph in which there is a bound for the degrees of the vertices is called labelled i f each edge is assigned a label from a f in i te set of labels, the edges emerging from a given vertex al l having distinct labels. Knuth [2] gives a wellknown transformation to represent an arbitrary rooted tree by means of a labelled binary tree. (He calls each edge either a "brother" or a "son", so the label set is {brother, son}) . The binary tree contains al l information of the original tree, and the lat ter can be reconstructed from the former.
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