Answer: 

 

C-D-E-P-A-B

 

7 + 8 + 11 + 13 + 12

 

DEFINITION:

 

vertex-edge graphs --  a network of vertices and edges.  The edges, vertices, or both may be assigned specific values, labels, or colors, in which case the graph is called a labeled graph.  The edges may also be imbued with the directedness or may be left unlabeled.  Vertex edge graphs are used to find optimal solutions to problems involving paths, networks, or relationships among a finite number of objects.2

 

network -- a collection of points which may or may not be connected by edges.3

 

2Weisstein, Eric W., “Vertex –Edge Graph,” from MathWorld-A Wolfram Web Resource.  http://mathworld.wolfram.com/Vertex-EdgeGraph.html

National Council of Teachers of Mathematics.(2000). Principles and Standards for School Mathematics (p.322). Reston, VA:

 

3Geometry to Go: A Mathematics Handbook (p. 463). (2001). Wilmington, MA:  Great Source Education Group, Inc.