{"title":"四象限棋盘滚球问题的一个不可逃避区域","authors":"Nicholas Korpelainen, Mathew Stubley","doi":"10.1016/j.endm.2018.11.009","DOIUrl":null,"url":null,"abstract":"<div><p>This is a generalisation of a chessboard pebbling problem (and the associated escapability-result) from one quadrant of an infinite integer lattice (as discussed by Chung et. al. in 1995 [Chung, F., Graham, R., Morrison, J. and Odlyzko, A., <em>Pebbling a Chessboard</em>, The American Mathematical Monthly, <strong>102(2), 1995</strong>, p. 113.]) to four quadrants.</p></div>","PeriodicalId":35408,"journal":{"name":"Electronic Notes in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.endm.2018.11.009","citationCount":"0","resultStr":"{\"title\":\"An Inescapable Region for the Chessboard Pebbling Problem on Four Quadrants\",\"authors\":\"Nicholas Korpelainen, Mathew Stubley\",\"doi\":\"10.1016/j.endm.2018.11.009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This is a generalisation of a chessboard pebbling problem (and the associated escapability-result) from one quadrant of an infinite integer lattice (as discussed by Chung et. al. in 1995 [Chung, F., Graham, R., Morrison, J. and Odlyzko, A., <em>Pebbling a Chessboard</em>, The American Mathematical Monthly, <strong>102(2), 1995</strong>, p. 113.]) to four quadrants.</p></div>\",\"PeriodicalId\":35408,\"journal\":{\"name\":\"Electronic Notes in Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.endm.2018.11.009\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Notes in Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S157106531830204X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S157106531830204X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
这是从无限整数格的一个象限(如Chung等人在1995年所讨论的那样)的一个棋盘石子问题(以及相关的可逃避性结果)推广到四个象限(Chung, F., Graham, R., Morrison, J.和Odlyzko, a ., the American Mathematical Monthly, 102(2), 1995, p. 113)。
An Inescapable Region for the Chessboard Pebbling Problem on Four Quadrants
This is a generalisation of a chessboard pebbling problem (and the associated escapability-result) from one quadrant of an infinite integer lattice (as discussed by Chung et. al. in 1995 [Chung, F., Graham, R., Morrison, J. and Odlyzko, A., Pebbling a Chessboard, The American Mathematical Monthly, 102(2), 1995, p. 113.]) to four quadrants.
期刊介绍:
Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.