GRAPHS

What are graphs? Which one should you use? Find out all about graphs and the great ways they can help you sort all kinds of information.

Math booster author David A. Adler and artist Ed Miller make pie charts easy-as-pie charts with this fun and vibrantly illustrated guide to data collection. For students, STEM topics don't always feel like a walk in the park. But what if they were more like a day at the fair? Follow Janet and Ben from the Ferris Wheel to the carousel as they use graphs and data collection to make decisions about their day. This is the sixteenth book in this duo's math picture book series. Combining elements of a graphic story with engaging and accessible nonfiction text, David A. Adler combines his well-established STEM know-how with Edward Miller's vibrant, high contrast art to take young readers on a wild ride through the world of bar graphs, pictographs, pie charts, and more!

Homomorphisms capture the dynamic aspects of networks and other structural models. The book includes most of the recent breakthroughs in this field, presenting the material from many different sources

This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf.

Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces.

A rigorous and comprehensive textbook covering the major approaches to knowledge graphs, an active and interdisciplinary area within artificial intelligence.The field of knowledge graphs, which allows

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

"In Line Graphs, readers will discover how to organize, present, and interpret data in this useful visual form. Relying on critical thinking to assess data, readers will learn how to recognize pattern

"Clear representations of data are vitally important in the information overload of the 21st century. In Picture Graphs, young readers will continue their journey toward data literacy by learning how

Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Sixth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Now reo

This is the first comprehensive introduction to the theory of word-representable graphs, a generalization of several classical classes of graphs, and a new topic in discrete mathematics. After ex

This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associat

Petri nets are a formal and theoretically rich model for the modelling and analysis of systems. A subclass of Petri nets, augmented marked graphs possess a structure that is especially desirable for t

This Level 2 guided reader teaches how to interpret and create pie graphs. Students will develop word recognition and reading skills while learning how to partition shares, describe parts of a whole,