OCR MEI D1 2013 June — Question 1

Exam BoardOCR MEI
ModuleD1 (Decision Mathematics 1)
Year2013
SessionJune
TopicGraph Theory Fundamentals

1 The adjacency graph for a map has a vertex for each country. Two vertices are connected by an arc if the corresponding countries share a border.
  1. Draw the adjacency graph for the following map of four countries. The graph is planar and you should draw it with no arcs crossing.
    \includegraphics[max width=\textwidth, alt={}, center]{e528b905-7419-44b6-b700-4c04ad96c816-2_531_1486_561_292}
  2. Number the regions of your planar graph, including the outside region. Regarding the graph as a map, draw its adjacency graph.
  3. Repeat parts (i) and (ii) for the following map.
    \includegraphics[max width=\textwidth, alt={}, center]{e528b905-7419-44b6-b700-4c04ad96c816-2_533_1484_1361_294}