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.

In some graph-theory literature, a graph is defined to be only a simple graph, but in most engineering applications it is necessary that parallel edges and self-loops be allowed; this is why our definition …

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 classes such as …

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 a more …

Some authors actually define a "graph" as a graph,"1 but others intend such alternatives as multigraph, pseudograph, directed graph, or network. We believe that uniformity in graphical terminology will …

There may be many paths between any two nodes. In the graph below, here is a simple path (a,f,c,b,h) from node a to h and another simple path (a,f,c,d,e,b,h), but also the non-simple path …

e diagram is called a graph. Note that the intersection of the lines PS and QT is not a vertex, since it does not correspond to a cross-roads or to the meeting of two wires. The degree of a vertex is the …