Target Set Selection Problem on Paths and Grids

碩士 === 國立中央大學 === 數學系 === 102 === In this paper, we are focus on the Target set Selection Problem (TSS Problem) on path. We also get some results on Pn□Pm. Consider two different rules of Bootstrap Percolation: Rule I and Rule II Under Rule I, we generalize Theorem 1, Theorem 2 and Theorem 3 ([3], [...

Full description

Bibliographic Details
Main Authors: Han-wun Guo, 郭瀚文
Other Authors: Hong-Gwa Yeh
Format: Others
Language:zh-TW
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/14870951425581855153
Description
Summary:碩士 === 國立中央大學 === 數學系 === 102 === In this paper, we are focus on the Target set Selection Problem (TSS Problem) on path. We also get some results on Pn□Pm. Consider two different rules of Bootstrap Percolation: Rule I and Rule II Under Rule I, we generalize Theorem 1, Theorem 2 and Theorem 3 ([3], [6]) from Pn□Pn to Pn□Pm.. Furthermore, we give some sufficient conditions for inequality such that equality holds. On the other hand, we have some properties under Rule II and results on path.