An Atlas of the Smaller Maps in Orientable and Nonorientable by David Jackson,Terry I. Visentin

By David Jackson,Terry I. Visentin

Maps are beguilingly uncomplicated constructions with deep and ubiquitous homes. They come up in a vital means in lots of parts of arithmetic and mathematical physics, yet require substantial time and computational attempt to generate. Few accumulated drawings can be found for reference, and little has been written, in e-book shape, approximately their enumerative facets.

An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces is the 1st e-book to supply whole collections of maps besides their vertex and face walls, variety of rootings, and an index quantity for pass referencing. It presents an evidence of axiomatization and encoding, and serves as an creation to maps as a combinatorial constitution. The Atlas lists the maps first via genus and variety of edges, and offers the embeddings of all graphs with at so much 5 edges in orientable surfaces, therefore featuring the genus distribution for every graph. Exemplifying using the Atlas, the authors discover giant conjectures with origins in mathematical physics and geometry: the Quadrangulation Conjecture and the b-Conjecture.

The authors' transparent, readable exposition and evaluate of enumerative idea makes this assortment obtainable even to execs who're now not experts. For researchers and scholars operating with maps, the Atlas offers a prepared resource of information for trying out conjectures and exploring the algorithmic and algebraic homes of maps.

Show description

Read Online or Download An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces (Discrete Mathematics and Its Applications) PDF

Similar logic books

18 Unconventional Essays on the Nature of Mathematics

This publication collects essentially the most attention-grabbing contemporary writings which are tackling, from numerous issues of view, the matter of giving an accounting of the character, goal, and justification of actual mathematical practice–mathematics as really performed by way of genuine dwell mathematicians. what's the nature of the items being studied?

Computable Structures and the Hyperarithmetical Hierarchy (Studies in Logic and the Foundations of Mathematics)

This ebook describes a application of analysis in computable constitution idea. The target is to discover definability stipulations akin to bounds on complexity which persist lower than isomorphism. the implications practice to popular forms of constructions (groups, fields, vector areas, linear orderings Boolean algebras, Abelian p-groups, versions of arithmetic).

Proceedings of the 13th Asian Logic Conference (Proceedings of the Asian Logic Conference)

This quantity offers a discussion board which highlights new achievements and overviews of contemporary advancements of the thriving common sense teams within the Asia-Pacific zone. It comprises papers through prime logicians and in addition a few contributions in machine technological know-how logics and philosophic logics.

Introduction to Mathematical Logic, Sixth Edition (Discrete Mathematics and Its Applications)

The recent version of this vintage textbook, advent to Mathematical common sense, 6th version explores the critical subject matters of mathematical good judgment. It covers propositional common sense, first-order common sense, first-order quantity thought, axiomatic set concept, and the speculation of computability. The textual content additionally discusses the most important result of Gödel, Church, Kleene, Rosser, and Turing.

Extra info for An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces (Discrete Mathematics and Its Applications)

Sample text

Download PDF sample

Rated 4.52 of 5 – based on 25 votes