期刊論文

學年 109
學期 2
出版(發表)日期 2021-03-30
作品名稱 Shifted-Antimagic Labelings for Graphs
作品名稱(其他語言)
著者 Pan, Zhi-shi
單位
出版者
著錄名稱、卷期、頁數 Graphs and Combinatorics 37(2), p.1065-1082
摘要 The concept of antimagic labelings of a graph is to produce distinct vertex sums by labeling edges through consecutive numbers starting from one. A long-standing conjecture is that every connected graph, except a single edge, is antimagic. Some graphs are known to be antimagic, but little has been known about sparse graphs, not even trees. This paper studies a weak version called k-shifted-antimagic labelings which allow the consecutive numbers starting from k+1, instead of starting from 1, where k can be any integer. This paper establishes connections among various concepts proposed in the literature of antimagic labelings and extends previous results in three aspects: -Some classes of graphs, including trees and graphs whose vertices are of odd degrees, which have not been verified to be antimagic are shown to be k-shifted-antimagic for sufficiently large k. -Some graphs are proved k-shifted-antimagic for all k, while some are proved not for some particular k. -Disconnected graphs are also considered.
關鍵字 Antimagic labeling;Disconnected graphs;Trees
語言 en_US
ISSN 1435-5914
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Wei-Tian Li
審稿制度
國別 JPN
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/120473 )