A STUDY ON INTERSECTION GRAPH OF IDEALS OF COMMUTATIVE RINGS
Planarity of a Spanning Subgraph of the Intersection Graph of Ideals of Commutative Ring
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The aim of this Book is to Characterize Commutative rings R on the basis of Max(R) (that is, Number of Maximal ideals of rings R, whether the rings are Quasi local or not) such that H(R) is planar. Moreover, our aim is to investigate whether the algebraic structure of R plays a role to arrive at the conclusion that the corresponding graph theoretic structure is planar. This book consists of Seven Chapters. Each Chapter contains Several basic results that are needed for proving the main theorem and also provide the suitable examples. The proof of each result is presented in a very simple, logic...
The aim of this Book is to Characterize Commutative rings R on the basis of Max(R) (that is, Number of Maximal ideals of rings R, whether the rings are Quasi local or not) such that H(R) is planar. Moreover, our aim is to investigate whether the algebraic structure of R plays a role to arrive at the conclusion that the corresponding graph theoretic structure is planar. This book consists of Seven Chapters. Each Chapter contains Several basic results that are needed for proving the main theorem and also provide the suitable examples. The proof of each result is presented in a very simple, logical and relevant manner, so that students understand it with right perspective. This book will also motivate the students for research work in the area of algebraic Graph Theory. An attempt has also been made to present the subject matter with the help of sufficient figures. Various need based mathematical symbols and notations are used in the results that are proved in this book. Thus, the book will serve as a complete package from basic to high level of the subject matter covered. I thank LAMBERT Academic for publishing this book.
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