Digraphs
Digraphs

Author: Jorgen Bang-Jensen

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 769

ISBN-13: 1447138864

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The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Digraphs
Digraphs

Author: Jørgen Bang-Jensen

Publisher: Springer Science & Business Media

Published: 2008-12-17

Total Pages: 795

ISBN-13: 1848009984

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Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.

Little Books of Blends and Digraphs, Grades 1 - 2
Little Books of Blends and Digraphs, Grades 1 - 2

Author: Flora

Publisher: Key Education Publishing

Published: 2010-06-11

Total Pages: 65

ISBN-13: 1602689148

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Facilitate a love of language in students in grades 1–2 with Little Books of Blends and Digraphs! This 64-page book includes 31 eight-page reproducible stories. These humorous, predictable stories cover 20 beginning blends, 7 final blends, and 4 digraphs. The book includes word lists, pre- and post-reading activities, and language arts activities for each story. The book also supports NCTE and NAEYC standards.

Digraphs and Blends
Digraphs and Blends

Author: Wiley Blevins

Publisher:

Published: 2019

Total Pages: 36

ISBN-13: 163440338X

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"When consonants team up they can do many things. Some blend their sounds together. Some make new sounds. These consonant blends and digraphs can be used to build simple words we use every day. Readers learn what these consonant teams can do."--

#6 Whose Shoes Would You Choose?
#6 Whose Shoes Would You Choose?

Author: Brian P. Cleary

Publisher: Millbrook Press

Published: 2009-01-01

Total Pages: 36

ISBN-13: 076135199X

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Uses wacky sentences and colorful art to teach long vowel sounds and consonant digraphs.

Phonics Intervention Centers
Phonics Intervention Centers

Author: Evan-Moor Educational Publishers

Publisher: Evan-Moor Educational Publishers

Published: 2012-01-20

Total Pages: 224

ISBN-13: 9781609634506

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Each of the eight centers in this book contains:sets of a two-sided mat and corresponding task card,reproducible activity pagesPractice It! and Read It!for written practice and assessment,cards presenting words with the targeted letter-sound pattern,answer key, and student record forms

Line Graphs and Line Digraphs
Line Graphs and Line Digraphs

Author: Lowell W. Beineke

Publisher: Springer Nature

Published: 2021-10-29

Total Pages: 301

ISBN-13: 303081386X

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In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.

Graphs & Digraphs, Fourth Edition
Graphs & Digraphs, Fourth Edition

Author: Gary Chartrand

Publisher: CRC Press

Published: 2004-10-28

Total Pages: 398

ISBN-13: 9781584883906

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With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists. Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs. New in the Fourth Edition: Expanded treatment of Ramsey theory Major revisions to the material on domination and distance New material on list colorings that includes interesting recent results A solutions manual covering many of the exercises available to instructors with qualifying course adoptions A comprehensive bibliography including an updated list of graph theory books Every edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material.

Phonics Book 1
Phonics Book 1

Author: Vernada Thomas

Publisher:

Published: 2021-06-15

Total Pages:

ISBN-13: 9780991244317

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The Phonics Series by Vernada Thomas helps young learners with their reading and comprehension of words and sounds. Phonics Book 1: Short Vowels with Digraphs uses a combination of traditional, direct, and unique reading exercises. The activities in this workbook help children build their vocabulary and better understand simple words - mostly featuring short vowel sounds. The exercises within this book contain letter matching, learning alphabet sounds (with an online audio component), practicing handwriting, reading short sentences and paragraphs, writing in missing letters, short vowel digraphs, consonant digraphs, word scrambles, and (of course!) coloring!These Phonics workbooks are extremely helpful to children who are learning English as a Second Language and many of these activities are specifically ESL Reading Exercises.Find the audio and learn more about Vernada Thomas at VernadaThomas.com.