This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.
This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory.The book builds on the verity that graph theory even at high school level is a subject that lends itself well to the development of mathematical reasoning and proof.This is an updated edition of two books already published with World Scientific, i.e., Introduction to Graph Theory: H3 Mathematics & Introduction to Graph Theory: Solutions Manual. The new edition includes solutions and hints to selected problems. This combination allows the book to be used as a textbook for undergraduate students. Professors can select unanswered problems for tutorials while students have solutions for reference.
This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.
This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.
This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.
This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory.The book builds on the verity that graph theory even at high school level is a subject that lends itself well to the development of mathematical reasoning and proof.This is an updated edition of two books already published with World Scientific, i.e., Introduction to Graph Theory: H3 Mathematics & Introduction to Graph Theory: Solutions Manual. The new edition includes solutions and hints to selected problems. This combination allows the book to be used as a textbook for undergraduate students. Professors can select unanswered problems for tutorials while students have solutions for reference.
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college.The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.
She was supposed to be from a noble familyOne person's martial arts could shake the world, while the other person's literary talent could shake the imperial city!However, both of them were deeply tied to the same king.A monarch descended upon the world, and his concubine stepped into the palace. There was no turning back ...The thorns in the palace pave the way, and the family outside the palace is in dangerPassing through this trial will lead to the Ascendant Phoenix Seat'Is it for love or for power? '"Only wait until the day when power falls upon the world, and all the grievances and grievances will be wiped out.
After transcending worlds, Lu Xiaohua thought that he was going to carry his child to be a widow, but he realized that his sick husband was hiding the truth. "My wife, quickly save your husband!" "Cough cough. Husband, promise me that when you meet with danger in the future, you must stand in front of me, okay!" The female artiste with 18 strings had crossed over to face off against her husband. Who wouldn't be an expert at acting?
The little secretary, Gu Yuwei, unexpectedly got to know the top figure of Jiangyou Group, Zhao Muchen. Zhao Mu Chen was handsome and wise, which made Gu Yu Wei fall in love with him. He fell in love with her from then on. Amidst the entanglement and reality attacks of the secular world, she wanted to retreat time and time again, but each time she fell deeper into the abyss ... Could their love reach the end?
The book examines institutional innovation in urban regeneration in Guangzhou, Shenzhen, and Shanghai, three Chinese cities that have experienced sweeping changes in recent years, providing an ideal guide to the development of urban regeneration practices in China. As a starting point, the book revisits relevant theoretical developments and the institutional experiences of urban regeneration in some Asian pioneer cities and regions, such as Hong Kong, Taipei, Tokyo, and Singapore. Moving on to the Chinese mainland cities themselves, the core comparative study investigates the institutional systems, key policies, planning formulations, and implementation paths in the urban regeneration process of the three cities. Gains and losses that have resulted from each city's institutional construction and reformation are discussed, as well as the underlying reasons for these. Drawing on these case studies and comparisons, the book puts forward some generic rules for urban regeneration institutional innovation, offering a valuable frame of reference for other cities and regions. The book will appeal to scholars interested in urban regeneration and renewal, as well as urban planners, architects, policymakers, and urban development administrators.
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college.The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.
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