Graph Theory
Favorite Conjectures and Open Problems - 1
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Beschreibung
This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm.
The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.
This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors’ favorite conjectures and open problems, enhancing the reader’s overall comprehension and enthusiasm.
The editors were inspired to create these volumes by the popular and well attended special sessions, entitled “My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.
Describes the origin and history behind conjectures and problems in graph theory Provides various methods to solving research problems in the field Provides strong pedagogical content for graduate students and a reference to researchers in the field
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Ralucca Gera
Themen in »Graph Theory«
Erdos coloring and domination digraphs graph eigenvalues graph theory conjectures open problems Ramsey and Folkman Numbers Hamiltonian Extension Trees and Hypercubes chromatic conjectures Chromatic Topological Graph Theory Domination Conjectures Circuit Double Covers of Graphs combinatorics matrix theory
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“The title is accurate. This is a collection of 16 independent papers by 17 authors. Each of these chapters is self-contained and can be understood by readers with no more than an undergraduate class in graph theory. … The format and accessibility of the book make it a good choice for a course or seminar in which each student can present a chapter.” (Miklós Bóna, MAA Reviews, maa.org, February, 2017)
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