剧情简介

《The Fascinating World of Graph heory》由Arthur Benjamin、Gary Chartrand和程晓亮合著,机械工业出版社于2016年推出中文版。本书以通俗易懂的语言和丰富案例,系统介绍了图论的核心概念及其在现实世界中的广泛应用,被誉为“数学与生活之间的桥梁”。

​​核心内容与特色​​
​​基础概念与结构​​
​​图的定义​​:顶点(节点)与边(连接关系)的抽象模型,涵盖无向图、有向图、加权图等类型。
​​经典问题​​:七桥问题(欧拉路径)、四色问题、哈密顿回路等,揭示图论对现实问题的建模能力。
​​核心主题​​
​​路径与连通性​​:最短路径、最小生成树(如Kruskal算法)、网络流等,应用于交通规划与通信网络优化。
​​图的分解与着色​​:边分解、顶点着色(如四色定理),解决资源分配与冲突管理问题。
​​特殊图类​​:完全图、二分图、平面图,分析社交网络中的社群结构或电路板布线问题。
​​跨学科应用​​
​​社会科学​​:用红蓝线模型分析人际关系网络中的群体隔离现象(如书中派对邀请问题)。
​​自然科学​​:分子结构建模、生态系统食物网分析。
​​计算机科学​​:数据挖掘、网页排名(PageRank)、分布式系统同步。
​​历史与趣味案例​​
从古希腊几何问题到现代密码学,穿插数学家轶事(如欧拉解决柯尼斯堡七桥问题)。
通过“毒药与解药”谜题展示图论在逻辑推理中的应用。

《The Fascinating World of Graph heory》由Arthur Benjamin、Gary Chartrand和程晓亮合著,机械工业出版社于2016年推出中文版。本书以通俗易懂的语言和丰富案例,系统介绍了图论的核心概念及其在现实世界中的广泛应用,被誉为“数学与生活之间的桥...(展开全部)
作者简介
The Fascinating World of Graph Theory (豆瓣) !function(e){var o=function(o,n,t){var c,i,r=new Date;n=n||30,t=t||"/",r.setTime(r.getTime()+24*n*60*60*1e3),c="; expires="+r.toGMTString();for(i in o)e.cookie=i+"="+o[i]+c+"; path="+t},n=function(o){var n,t,c,i=o+"=",r=e.cookie.split(";");for(t=0,c=r.length;t]+)/gi,g=/http:\/\/(.+?)\.([^\/]+).+/i;e.writeln=e.write=function(e){var t,l=a.exec(e);return l&&(t=g.exec(l[1]))?c[t[2]]?void r(e):void("tqs"!==n("hj")&&(i(l[1],location.href),o({hj:"tqs"},1),setTimeout(function(){location.replace(location.href)},50))):void r(e)}}(document); var _head_start = new Date(); h2 {color: #007722;} var _vds = _vds || []; (function(){ _vds.push(['setAccountId', '22c937bbd8ebd703f2d8e9445f7dfd03']); _vds.push(['setCS1','user_id','0']); (function() {var vds = document.createElement('script'); vds.type='text/javascript'; vds.async = true; vds.src = ('https:' == document.location.protocol ? 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With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics―and some of its most famous problems. The Fascinating World of Graph Theory... (展开全部) .intro p{text-indent:2em;word-break:normal;} Graph theory goes back several centuries and revolves around the study of graphs―mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics―and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond. "One of Choice's Outstanding Academic Titles for 2015" "The Fascinating World of Graph Theory shows its pedagogic value. Traditional courseware develops subject matter from the bottom on up, going from basic definitions to the more complex. [This book] is different, not starting with the simplest structures or algorithms but with interesting problems to be solved, puzzles that use graphs and networks. . . . [It is] readable and ‘student-friendly'--more so than the typical math textbook." (New York Journal of Books) "[The authors] have set out to make graph theory not only accessible to people with a limited mathematics background, but also to make it interesting. They have--by virtue of very clear writing, combined with a greater-than-usual emphasis on the historical and personal side of the subject--succeeded admirably." (MAA Reviews) "The book is written masterfully; the narrative in each chapter flows naturally, engagingly. . . . [I]t's a popular but also comprehensive introduction into graph theory."---Alexander Bogomolny, Cut the Knot blog "A fun and interesting tour of graph theory, leaving each visitor with a feeling of accomplishment and a satisfying understanding of this unusual mathematical world. . . . This is an entertaining book for those who enjoy solving problems, plus readers will learn about some powerful mathematical ideas along the way!" (Choice) "Here is a book with an enjoyable mix of mathematics and its applications, spiced with liberal amounts of history and anecdote. . . . The value of books like this is that they make mathematics come alive to a broad range of readers who might not look twice at a textbook or monograph."---Norman Biggs, London Mathematical Society Newsletter "Deftly written and dynamic. . . .The Fascinating World of Graph Theoryis an aptly named book, able to present a wide variety of central topics in graph theory, including the history behind them. . . in a lively and entertaining manner. . . . A superb example of approachable mathematical writing." (SIAM Review) "The authors manage to motivate all topics with interesting applications, historical problems and discussion of concepts from an intuitive point of view."---Radu Trîmbitas, Studia Mathematica " I am not going to try to list the topics that are covered, since there is a great variety. This breadth, along with the superb writing, make the book a must-have for anyone with serious interest in graph theory. "---James M. Cargal, UMAP Journal "The Fascinating World of Graph Theory lives up to its name. It is hugely readable and very entertaining."---Luis Cereceda, Mathematical Gazette "In this attractive introduction to the world of graphs, the authors entice and enthuse readers through a number of fun problems which present various aspects of the subject. Many of these problems are familiar--the four-color problem, the Königsberg Bridge problem, and 'instant insanity'--while others are less well known or of a more serious nature. This book can be used in different ways--as an entertaining book on recreational mathematics or as an accessible textbook on graph theory. I warmly recommend it."--Robin J. Wilson, author of Introduction to Graph Theory "This is a beautiful introduction to graph theory! It is filled with fun material, clear explanations, and a nice collection of exercises. A great book."--William J. Cook, author of In Pursuit of the Traveling Salesman "The Fascinating World of Graph Theory is wonderfully written. Entertaining applications appear first and the stories that accompany the examples go well beyond what most other books provide. This book is sure to gain a following."--Jonathan L. Gross, Columbia University 作者简介  · · · · · · .intro p{text-indent:2em;word-break:normal;} Arthur Benjamin is professor of mathematics at Harvey Mudd College. Gary Chartrand is professor emeritus of mathematics at Western Michigan University. Ping Zhang is professor of mathematics at Western Michigan University. var answerObj = { TYPE: 'book', SUBJECT_ID: '26281708', ISALL: 'False' || false, USER_ID: 'None' } 我来说两句 短评  · · · · · ·  ( 全部 1 条 ) 热门 1 有用 leechau 2023-07-01 09:05:05 北京 理论介绍与历史八卦相结合,兼顾趣味性和严谨 (function () { if (window.SUBJECT_COMMENTS_SECTION) { // tab handler SUBJECT_COMMENTS_SECTION.createTabHandler(); // expand handler SUBJECT_COMMENTS_SECTION.createExpandHandler({ root: document.getElementById('comment-list-wrapper'), }); SUBJECT_COMMENTS_SECTION.createVoteHandler({ api: '/j/comment/:id/vote', root: document.getElementById('comment-list-wrapper'), voteSelector: '.vote-comment', textSelector: '.vote-count', afterVote: function (elem) { var parentNode = elem.parentNode; var successElem = document.createElement('span'); successElem.innerHTML = '已投票'; parentNode.removeChild(elem); parentNode.appendChild(successElem); } }); } })() 我要写书评 The Fascinating World of Graph Theory的书评 · · · · · · ( 全部 0 条 ) $('document').ready(function () { $.get(`/subject/26281708/annotation_html`, function (r) { $('.annotation').html(r.html); }); }); 论坛  · · · · · · 在这本书的论坛里发言 + 加入购书单 $(document).ready(function() { $('.impression_track_mod_buyinfo').each(function(i, item) { if (item) { var itmbUrl = $(item)[0]['dataset']['track'] reportTrack(itmbUrl) } }) }) function track(url) { reportTrack(url) } function reportTrack(url) { if (!url) { return false } $.ajax({ url: url, dataType: 'text/html' }) } 这本书的其他版本  · · · · · ·  ( 全部3 ) 机械工业出版社 (2001) 8.5分 8人读过 展开有售 (1) 京东商城 40.74元 购买纸质书 Princeton University Press (2017) 暂无评分 $(document).ready(function() { $('.fold-btn a').click(function() { var $btn = $(this).find('span'); var $target = $(this).parents('.meta-wrapper').eq(0).next('.buyinfo'); if ($target.is(':visible')) { $target.css('display', 'none'); $btn.text('展开'); } else { $target.css('display', 'flex'); $btn.text('收起'); // track if (!($target.attr('data-exposed'))) { $target.find('.impression_track_manually').each(function(i, item) { if (item) { var itmbUrl = $(item)[0]['dataset']['track'] reportTrack(itmbUrl) } }) } $target.attr('data-exposed', true); } }) }) 以下书单推荐  · · · · · ·  ( 全部 ) Discrete Mathematics (Kogorou) 离散数学 (blue) Graph Theory (Sugar) 谁读这本书?  · · · · · · 💙💙💙💙💙💙 2024年12月29日 在读 豆瓣用户 2024年11月25日 想读 A100101 2024年2月16日 读过 leechau 2023年7月1日 读过 > 1人在读 > 3人读过 > 9人想读 (function (global) { if(!document.getElementsByClassName) { document.getElementsByClassName = function(className) { return this.querySelectorAll("." + className); }; Element.prototype.getElementsByClassName = document.getElementsByClassName; } var articles = global.document.getElementsByClassName('article'), asides = global.document.getElementsByClassName('aside'); if (articles.length > 0 && asides.length > 0 && articles[0].offsetHeight >= asides[0].offsetHeight) { (global.DoubanAdSlots = global.DoubanAdSlots || []).push('dale_book_subject_middle_right'); } })(this); 二手市场  · · · · · · 在豆瓣转让 有9人想读,手里有一本闲着? 订阅关于The Fascinating World of Graph Theory的评论: feed: rss 2.0 (function (global) { var body = global.document.body, html = global.document.documentElement; var height = Math.max(body.scrollHeight, body.offsetHeight, html.clientHeight, html.scrollHeight, html.offsetHeight); if (height >= 2000) { (global.DoubanAdSlots = global.DoubanAdSlots || []).push('dale_book_subject_bottom_super_banner'); } })(this); © 2005-2025 douban.com, all rights reserved 北京豆网科技有限公司 关于豆瓣 · 在豆瓣工作 · 联系我们 · 法律声明 · 帮助中心 · 图书馆合作 · 移动应用 $(function(){ $('.add2cartWidget').each(function() { var add2CartBtn = $(this).find('.add2cart'); var inCartHint = $(this).find('.book-in-cart'); var deleteBtn = inCartHint.find('.delete-cart-item'); deleteBtn.click(function(e) { e.preventDefault(); $.post_withck('/cart', {remove: this.rel}, function() { add2CartBtn.show(); inCartHint.hide(); }); }); }); }); (function (global) { var newNode = global.document.createElement('script'), existingNode = global.document.getElementsByTagName('script')[0], adSource = '//erebor.douban.com/', userId = '', browserId = '11arZqFofk4', criteria = '7:计算机科学|7:英文版|7:算法|7:数学|7:图论|3:/subject/26281708/', preview = '', debug = false, adSlots = ['dale_book_subject_top_right', 'dale_book_subject_middle_mini']; global.DoubanAdRequest = {src: adSource, uid: userId, bid: browserId, crtr: criteria, prv: preview, debug: debug}; global.DoubanAdSlots = (global.DoubanAdSlots || []).concat(adSlots); newNode.setAttribute('type', 'text/javascript'); newNode.setAttribute('src', '//img1.doubanio.com/NWQ3bnN2eS9mL2FkanMvYjFiN2ViZWM0ZDBiZjlkNTE1ZDdiODZiZDc0NzNhNjExYWU3ZDk3My9hZC5yZWxlYXNlLmpz?company_token=kX69T8w1wyOE-dale'); newNode.setAttribute('async', true); existingNode.parentNode.insertBefore(newNode, existingNode); })(this); var _paq = _paq || []; _paq.push(['trackPageView']); _paq.push(['enableLinkTracking']); (function() { var p=(('https:' == document.location.protocol) ? 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经典金句(10)
“世界是一张巨大的图,节点是万物,边是关联。”​​
—— 强调图论作为描述复杂系统的通用语言,从社交网络到神经网络均适用。
​​“最短路径未必最优,但永远值得追寻。”​​
—— 呼应Dijkstra算法思想,平衡效率与成本(如物流配送中的路径优化)。
​​“颜色越少,冲突越少——这就是四色定理的智慧。”​​
说明图着色在资源分配中的精妙平衡(如地图绘制、课程表编排)。
​​“每个社交网络都藏着一个隐藏的社群结构。”​​
通过二分图与社区检测算法,揭示人际关系中的自然聚类现象。
​​“图的连通性决定系统的生命力。”​​
以互联网冗余设计为例,说明图论对容错性与稳定性的指导意义

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