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  1. RAN RAT Going forward, we're primarily going to focus on undirected graphs. The term “graph” generally refers to undirected graphs with a fnite number of nodes, unless specifed otherwise.

  2. In light of Remark 1.17, we will assume that every graph we discuss in these notes is a simple graph and we will use the term graph to mean simple graph. When a particular result holds in …

  3. In mathematics, the term graph is used in different contexts to mean two different things. In your algebra classes, calculus classes, and earlier in this class, you have studied the graphs of …

  4. This is a graduate-level introduction to graph theory, corresponding to a quarter-long course. It covers simple graphs, multigraphs as well as their directed analogues, and more restrictive …

  5. In this section we will explain what a graph is as well as the diferent properties of a graph such as degrees, trails, vertices, and edges. A graph is a collection of vertices and edges. Vertices can …

  6. Graph Theory 1 Introduction Graphs are an incredibly useful st. ucture in Computer Science! They arise in all sorts of applications, including scheduling, optimization, communications, and the …

  7. Let us redraw our diagram of the city of KÄonigsberg by representing each of the land masses as a vertex and representing each bridge as an edge connecting the vertices corresponding to …