1. Map Coloring Vertex Drawing Txt: mini excursion 2 (p. 318-330 ) & SOL: DM.1 Classwork Project Assigned due in two blocks (print the rubric at the end of the power point slide) Apply the Four Color Theorem to one of the graphs Homework (day 52) worksheet

2. A Graph is a collection of points (or circles) some of which are joined by lines or curves. These are called “vertices” and “edges.” The word node is sometimes used instead of “vertex”; the word arc is sometimes used in place of “edge.” Each edge joins two different vertices. A given pair of vertices may or may not be joined by an edge. Coloring of a Map involved assigning colors to the countries of a map so that Countries with a common border are assigned different colors. “Coloring of a graph” involves assigning colors to the vertices of a graph so that adjacent vertices are assigned different colors.

4. Map Coloring https://www.youtube.com/watch?v=ANY7X-_wpNs https://www.youtube.com/watch?v=ANY7X-_wpNs A “coloring of a map” involves assigning colors to the countries of a map so that countries with a common border are assigned different colors. Vertex coloring of graphs can be used to solve a variety of problems which involve “conflict.” In a situation involving maps, two countries are in conflicting if they share the same border. We resolve the conflict by assigning conflicting countries different colors. In a situation involving class projects, two projects are in conflict if they share the same member. We resolve the conflict by assigning conflicting projects different meeting times. Edge colorings of graph can be used to schedule tournaments, especially round robin.

5. “The Story of the Young Map Color-er”