New Advances in Designs, Codes and Cryptography: Stinson66, Toronto, Canada, June 13-17, 2022
Colbourn, Charles J., Dinitz, Jeffrey H.
商品描述
This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research. It contains four accessible surveys of topics in combinatorial designs and related topics, ranging from a tutorial survey of connections to classical group theory, to surveys of "hot topics" in current research. It also contains a prospective paper identifying topics for future research efforts, co-authored by one of the elder statesmen of the field, Alex Rosa. Finally, the research papers examine topics ranging from pure mathematics to applied work in computing, networking, communications, and cryptography.
For students and newcomers to these topics, the volume provides accessible survey material that does not have onerous prerequisites. The breadth of topics reflects the vibrancy of the field in a way that can be appreciated by all researchers. The papers present important advances on theory and applications, which also benefit advanced researchers.商品描述(中文翻譯)
本書記錄並傳播了Stinson66會議的精選論文，包括調查、展望以及呈現原創和當前研究的論文。它包含了四篇易於理解的調查文章，涵蓋了組合設計和相關主題，從與古典群論的聯繫的教學調查，到當前研究中的“熱門話題”的調查。它還包含了一篇展望性論文，由該領域的資深人士之一Alex Rosa共同撰寫，該論文確定了未來研究努力的主題。最後，研究論文涵蓋了從純數學到計算、網絡、通信和密碼學的應用工作的主題。
對於這些主題的學生和新手，本書提供了易於理解的調查材料，無需繁重的先備知識。範圍廣泛的主題反映了該領域的活力，所有研究人員都能欣賞到。這些論文提出了理論和應用方面的重要進展，也使高級研究人員受益。
作者簡介
Jeffrey H. Dinitz is an Emeritus Professor of Mathematics and Statistics at the University of Vermont. He earned his BS in mathematics at Carnegie Mellon University (1974) and his PhD in mathematics at The Ohio State University (1980). He has been a member of the Department of Mathematics and Statistics at the University of Vermont since 1980, becoming emeritus in 2019. He co-edited the Handbook of Combinatorial Designs (2007) with Charles Colbourn. His research interests lie in areas of combinatorial designs (Latin squares, Room squares, Heffter arrays, etc.) and applications, including to computing and scheduling. In 2001 he designed the schedule of play for the XFL football league.
作者簡介(中文翻譯)
Charles J. Colbourn 是亞利桑那州立大學的計算機科學和工程學教授。他在加拿大滑鐵盧大學獲得了數學碩士學位（1978年），並在加拿大多倫多大學獲得了博士學位（1980年）。他與Alex Rosa合著了《Triple Systems》一書（牛津大學出版社，1999年）。他是組合學及其應用研究所的主席。他的研究涉及組合設計理論及其在計算、通信、網絡、編碼和實驗設計等領域的眾多應用。
Jeffrey H. Dinitz 是佛蒙特大學數學和統計學的名譽教授。他在卡內基梅隆大學獲得了數學學士學位（1974年），並在俄亥俄州立大學獲得了數學博士學位（1980年）。自1980年以來，他一直是佛蒙特大學數學和統計學系的成員，並於2019年成為名譽教授。他與Charles Colbourn共同編輯了《組合設計手冊》（2007年）。他的研究興趣包括組合設計（拉丁方陣、室方陣、Heffter數組等）及其應用，包括計算和排程。在2001年，他設計了XFL足球聯賽的比賽時間表。
