Jesse Sakari Hyttinen Knihy

Focusing on the beauty and creativity of mathematics, this book aims to inspire and connect readers through the realms of graph theory and treespeak. It emphasizes the importance of sharing knowledge and fostering a community among enthusiasts, portraying mathematics not just as a discipline but as an art form and a competitive game. The author seeks to engage future generations, showcasing the joy and creativity inherent in mathematical concepts.

The book explores the concept of treespeak, a unique mathematical language that highlights the interplay between vertex edge algebra and tree generation algorithms. It aims to inspire and connect individuals through mathematics, presenting it as both an art form and an engaging, competitive game. By fostering a community around this innovative approach, the author seeks to demonstrate the beauty and creativity inherent in mathematical concepts.

Focusing on a formal theory of tree generation, this book introduces the concept of collection space, linking rooted trees to variables in sum form equations. It explores connections with number theory, linear algebra, and algebra, establishing a fundamental relationship between rooted tree generation and partition generation. A successor operator is defined, facilitating the creation of tree sequences and the infinite sequence of all rooted trees. The axiomatic system developed addresses the need for tools to solve these equations, highlighting a new branch in mathematics.

I believe in passing on knowledge to further generations, inspiring scientists and mathematicians of today and tomorrow. By making books about graph theory, I can make my vision happen and leave a mark in this world, and enrich the minds of curious individuals. The book Tree generation and enumeration: an extended model in graph theory, is about a formal system for tree generation, including such tree types as rooted trees, free trees, series-reduced rooted trees and series-reduced free trees. A link is made between positive integer partitions, natural numbers and trees, and the scope of tree generation is expanded to equations, a new branch in graph theory called advanced vertex edge algebra. With multiple various examples and results, this model, or theory, can be an insightful experience, and can improve intuition and expertise especially in rooted tree generation. The main focus of the book is in tree generation, but there are quite many examples of tree enumeration as well.