The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs
碩士 === 國立暨南國際大學 === 資訊工程學系 === 97 === Let e be an edge in a graph G. The labeling of e, denoted by r(e), is a positive integer. An edge ranking of graph G is a labeling of edges such that every path between two different edges ei, ej with r(ei) = r(ej) contains an intermediate edge ew with r(ew) >...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Others |
Language: | zh-TW |
Published: |
2009
|
Online Access: | http://ndltd.ncl.edu.tw/handle/62390491754143041388 |
id |
ndltd-TW-097NCNU0392008 |
---|---|
record_format |
oai_dc |
spelling |
ndltd-TW-097NCNU03920082016-05-06T04:11:10Z http://ndltd.ncl.edu.tw/handle/62390491754143041388 The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs 河內圖之最小邊排列編號 Ying-Jhih Chen 陳穎治 碩士 國立暨南國際大學 資訊工程學系 97 Let e be an edge in a graph G. The labeling of e, denoted by r(e), is a positive integer. An edge ranking of graph G is a labeling of edges such that every path between two different edges ei, ej with r(ei) = r(ej) contains an intermediate edge ew with r(ew) > r(ei). An edge ranking is called a minimum edge ranking of G if its largest rank is minimum among all rankings of G. The edge ranking problem is to find a minimum edge ranking of graph G. The problem has been proved to be an NP-hard problem. It is known that there are polynomial time algorithms for non-trivial classes, such as trees and two-connected outerplanar graphs. Our algorithm is an O(1) time algorithm to find the minimum edge ranking on S(n, 3) graphs where S(n, k) is a Sierpinski graph consisting of all n-tuples of integers 1, 2, . . . , k. Yu-Le Wang Justie Su-Tzu Juan 王有禮 阮夙姿 2009 學位論文 ; thesis 37 zh-TW |
collection |
NDLTD |
language |
zh-TW |
format |
Others
|
sources |
NDLTD |
description |
碩士 === 國立暨南國際大學 === 資訊工程學系 === 97 === Let e be an edge in a graph G. The labeling of e, denoted by r(e), is a positive integer. An edge ranking of graph G is a labeling of edges such that every path between two different edges ei, ej with r(ei) = r(ej) contains an intermediate edge ew with r(ew) > r(ei). An edge ranking is called a minimum edge ranking of G if its largest rank is minimum among all rankings of G. The edge ranking problem is to find a minimum edge ranking of graph G. The problem has been proved to be an NP-hard problem. It is known that there are polynomial time algorithms for non-trivial classes, such as trees and two-connected outerplanar graphs. Our algorithm is an O(1) time algorithm to find the minimum edge ranking on S(n, 3) graphs where S(n, k) is a Sierpinski graph consisting of all n-tuples of integers 1, 2, . . . , k.
|
author2 |
Yu-Le Wang |
author_facet |
Yu-Le Wang Ying-Jhih Chen 陳穎治 |
author |
Ying-Jhih Chen 陳穎治 |
spellingShingle |
Ying-Jhih Chen 陳穎治 The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
author_sort |
Ying-Jhih Chen |
title |
The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
title_short |
The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
title_full |
The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
title_fullStr |
The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
title_full_unstemmed |
The Minimum Edge Ranking on Sierpinski S(n, 3) Graphs |
title_sort |
minimum edge ranking on sierpinski s(n, 3) graphs |
publishDate |
2009 |
url |
http://ndltd.ncl.edu.tw/handle/62390491754143041388 |
work_keys_str_mv |
AT yingjhihchen theminimumedgerankingonsierpinskisn3graphs AT chényǐngzhì theminimumedgerankingonsierpinskisn3graphs AT yingjhihchen hénèitúzhīzuìxiǎobiānpáilièbiānhào AT chényǐngzhì hénèitúzhīzuìxiǎobiānpáilièbiānhào AT yingjhihchen minimumedgerankingonsierpinskisn3graphs AT chényǐngzhì minimumedgerankingonsierpinskisn3graphs |
_version_ |
1718260738470969344 |