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Introduction to Graph Theory
For undergraduate or graduate courses in Graph Theory in departments of mathematics or computer science. This text offers a comprehensive and coherent introduction to the fundamental topics of graph theory. It includes basic algorithms and emphasizes the understanding and writing of proofs about graphs. Thought-provoking examples and exercises develop a thorough understanding of the structure of graphs and the techniques used to analyze problems. The first seven chapters form the basic course, with advanced material in Chapter 8. -
图论导引
图论导引,ISBN:9787115161536,作者:(美)沙特朗、张萍 -
图论导引
图论起源于著名的哥尼斯堡七桥问题,在计算科学、社会科学和自然科学等各个领域都有广泛应用。本书是本科生或研究生一学期或两学期的图论课程教材。内容全面,证明与应用实例并举,不仅包括对证明技巧的讨论、1200多道习题、400多幅插图以及许多例题,而且对所有定理都给出了详细完整的证明。可以作为高等院校数学系本科生和研究生、计算机专业和其他专业研究生的图论课程教材,也可以作为有关教师和工程技术人员的参考书。 本书全面介绍了图论的基本概念、基本定理和算法,帮助读者理解并掌握图的结构和解决图论问题的技巧。另外,书中包含很多图论的新研究成果,并介绍了一些悬而未决的图论问题,证明与应用并举是本书的一个重要特点,书中对所有定理和命题给出了完整的证明,同时讨论了大量的实例和应用,并提供了120O多道习题。 本书可以作为高等院校数学系本科生和研究生、计算机专业和其他专业研究生的图论课程教材,也可以作为有关教师和工程技术人员的参考书。 -
Graph Theory
Designed for the non-specialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for graduate students and researchers in graph theory and its applications. The author approaches the subject with a lively writing style. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory. -
网络流
本书全面介绍了经典的和现代的网络流技术,包括综合的理论、算法与应用。主要内容包括:路径、树与周期,算法设计与分析,最大流与最小流算法,分派与匹配,最小生成树,拉格朗日松弛与网络优化等。书中包含大量练习题,拓展了本书的内容,便于教学。