By Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin

The imperative subject matter of the current e-book is zigzags and central-circuits of 3- or four-regular aircraft graphs, which enable a double protecting or protecting of the edgeset to be received. The ebook provides zigzag and valuable circuit buildings of geometric fullerenes and a number of other sessions of graph of curiosity within the fields of chemistry and arithmetic. It additionally discusses the symmetries, parameterization and the Goldberg–Coxeter development for these graphs.

It is the 1st ebook in this topic, providing complete constitution idea of such graphs. whereas many past guides in basic terms addressed specific questions on chosen graphs, this ebook is predicated on a variety of computations and offers huge info (tables and figures), in addition to algorithmic and computational details. it is going to be of curiosity to researchers and scholars of discrete geometry, mathematical chemistry and combinatorics, in addition to to put mathematicians.

Show description

Read Online or Download Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits PDF

Best Graph Theory books

Fixed Point Theory and Graph Theory: Foundations and Integrative Approaches

Fastened element thought and Graph idea offers an intersection among the theories of mounted aspect theorems that supply the stipulations less than which maps (single or multivalued) have strategies and graph concept which makes use of mathematical buildings to demonstrate the connection among ordered pairs of gadgets when it comes to their vertices and directed edges.

Random Geometric Graphs (Oxford Studies in Probability)

This monograph presents and explains the maths in the back of geometric graph idea, which reviews the houses of a graph that includes nodes put in Euclidean area in order that edges may be extra to attach issues which are with regards to each other. for instance, a suite of timber scattered in a wooded area and the illness that's handed among them, a collection of nests of animals or birds on a zone and the communique among them or communique among communications stations or nerve cells.

Matroid Theory (Oxford Graduate Texts in Mathematics)

* what's the essence of the similarity among linearly self sustaining units of columns of a matrix and forests in a graph? * Why does the grasping set of rules produce a spanning tree of minimal weight in a hooked up graph? * will we attempt in polynomial time even if a matrix is completely unimodular? Matroid concept examines and solutions questions like those.

The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators

This e-book presents an exhilarating background of the invention of Ramsey thought, and comprises new learn besides infrequent images of the mathematicians who constructed this conception, together with Paul Erdös, B. L. van der Waerden, and Henry Baudet.

Additional resources for Geometric Structure of Chemistry-Relevant Graphs: Zigzags and Central Circuits

Show sample text content

Rated 4.60 of 5 – based on 5 votes