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Its authors have divided Elementary Number Theory, Group Theory and Ramanujan Graphs into four chapters. The first of these provides background in graph theory, including material on the girth of graphs (the length of the shortest cycle), on graph coloring, and on the use of the probabilistic method to prove the existence of graphs for which both the girth and the number of colors needed are ...
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In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.
December 10, 2016 / 7.2.7: Linux, Mac, Windows, OS/X: IPE Graphics with LaTeX equations or notations can be stored as PDF files (not only exported to PDF) and be included in LaTeX documents. pdftoipe allows any PDF graph to be edited in Ipe. JFreeChart: GUI, Java, Groovy: LGPL: Yes 2000: November 5, 2017 / 1.5.0: Any : JMP: GUI, scripting ...
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points ) which are connected by edges (also called arcs , links or lines ).