Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya
{"title":"GRAPH TANGGA DAN SIFAT-SIFATNYA","authors":"Mareta Sekar Larasati, Luh Putu, Ida Harini, Wayan Sumarjaya","doi":"10.24843/mtk.2023.v12.i03.p416","DOIUrl":null,"url":null,"abstract":"Ladder Graph is one type of connected and simple graph that has its own uniqueness. The aim of this research is to find the k-deficiency of points in the spanning tree in the ladder graph. Calculation of k-deficiency is carried out for each additional step, starting from the second ladder ( L2), up to the nth Ladder (Ln). Calculations are based on a representative spanning tree on each ladder. In the end, we get a number pattern from the second ladder onwards which is then proven by mathematical induction, for the calculation of each step up the ladder. In this study, the pattern of k-deficiency points on the ladder graph was obtained.","PeriodicalId":11600,"journal":{"name":"E-Jurnal Matematika","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"E-Jurnal Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24843/mtk.2023.v12.i03.p416","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Ladder Graph is one type of connected and simple graph that has its own uniqueness. The aim of this research is to find the k-deficiency of points in the spanning tree in the ladder graph. Calculation of k-deficiency is carried out for each additional step, starting from the second ladder ( L2), up to the nth Ladder (Ln). Calculations are based on a representative spanning tree on each ladder. In the end, we get a number pattern from the second ladder onwards which is then proven by mathematical induction, for the calculation of each step up the ladder. In this study, the pattern of k-deficiency points on the ladder graph was obtained.