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# 📙 Pancyclic and Bipancyclic Graphs by John C. George, Abdollah Khodkar, W.D. Wallis (auth.) — free epub

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This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory. Readers should be familiar with the basic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclic graphs contain cycles of all possible lengths from three up to the number of vertices in the graph. Bipartite graphs contain only cycles of even lengths, a bipancyclic graph is defined to be a bipartite graph with cycles of every even size from 4 vertices up to the number of vertices in the graph. Cutting edge research and fundamental results on pancyclic and bipartite graphs from a wide range of journal articles and conference proceedings are composed in this book to create a standalone presentation.

The following questions are highlighted through the book:

- What is the smallest possible number of edges in a pancyclic graph with v vertices?

- When do pancyclic graphs exist with exactly one cycle of every possible length?

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- Series:
**SpringerBriefs in Mathematics** - Author:
**John C. George, Abdollah Khodkar, W.D. Wallis (auth.)** - Year:
**2016** - Publisher:
**Springer International Publishing** - Language:
**English** - ISBN:
**978-3-319-31950-6, 978-3-319-31951-3**

- File size:
**3 078 283** - Format:
**pdf**

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Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teache...

This book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but...

This is the third edition of the popular text on graph theory. Asin previous editions, the text presents graph theory as a mathematical discipline and emphasizes clear exposition and well written proofs. New in this edition are expanded treatments of grap...

The study of random graphs was begun by Paul Erdos and Alfred Renyi in the 1960s and now has a comprehensive literature. A compelling element has been the threshold function, a short range in which events rapidly move from almost certainly false to almost...

In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's...

Primarily for researchers and graduate students, but also perhaps advanced undergraduate mathematics students, Golumbic (U. of Haifa) and Trenk (Wellesley College, Massachusetts) collect and survey the major results of tolerance graphs since they were int...

A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics, including commutative algebra, geometry, and knot theory. Identifying each graph with its edge set, one ...

Too many students end their study of mathematics before ever taking an algebra course. Others attempt to study algebra, but are unprepared and cannot keep up. Key to Algebra was developed with the belief that anyone can learn basic algebra if the subject ...

The main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system - a Graph Directed Markov System. These systems are very robust in that they apply to many sett...

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Based on an earlier edition published in 1992 in Bulgarian, this book offers a specific approach to one of the most controversial problems in linguistics. According to it, aspect is the result of a subtle and complex interplay between the referents of ver...

I was very happy when in 1997 Fiachra Long came to spend part of his sabbatical leave at the Archives Maurice Blondel at Louvain-Ia-Neuve. This allowed him to bring together and complete his translation of three important articles from Maurice Blondel, kn...

In January 1998 leading scholars from Europe, the United States, and Israel in the fields of medieval encyclopedias (Arabic, Latin and Hebrew) and medieval Jewish philosophy and science gathered together at Bar-Ilan University in Ramat-Gan, Israel, for an...

Yohei Sasakawa The Northern Sea Route is the shortest shipping route connecting the Far East and Europe. However, the route has been practically inaccessible to commercial vessels, due to the harsh natural conditions in the area, which make navigation pos...

Temporality has been a central issue in phenomenology since its inception. Husserl's groundbreaking investigations of the consciousness of internal time early in the century inaugurated a phenomenological tradition enriched by such figures as Martin Heide...

In reflecting on this book and the process of writing it, the most pervasive theme I find is that of confluence. I drew much of the energy needed to write the book from the energy that resides at the confluence, or nexus, of contrasting ideas. At the most...

Sustainable development has been the basic goal of the European Union since the Treaty of Amsterdam. After an in-depth analysis of the concept, the book goes on to translate the concept into practicable and tangible opportunities for urban and regional su...

This volume is composed chiefly of papers first presented and discussed at the Research Symposium on Feminist Phenomenology held November 18-19, 1994 in Delray Beach, Florida. Those papers have been revised and expanded for publication in the present volu...

With a series of experiments, Lena Himbert highlights the influence of the unit price’s unit of measure on the consumer’s price-level perception and quality perception. Furthermore, this thesis shows that the unit price availability and prominence influen...