TODAY’S CLASS
-DIRECTED GRAPH
-EXAMPLES
-STENCIL
WHAT IS A DIRECTED GRAPH?
A directed graph is simply a graph with arrows.
 The arrow indicates the direction of motion
between two vertices.
 Example:

PATHS AND CIRCUITS (FOR DIRECTED
GRAPH)

Given the graph below, does the path ABCD
exist? Justify.
MULTIPLE CHOICES:
WHICH OF THE FOLLOWING IS A CIRCUIT IN
THE GRAPH GIVEN BELOW?

a) DASBD

b) ASB

c) ASCFEDBA

d) DBADE
IDENTIFY

A path from H to E:

A circuit that start at vertex G:
IDENTIFY

A path from G to K:

A circuit that start at vertex I:
DISTANCE BETWEEN TWO VERTICES
(FOR DIRECTED GRAPH)


In a directed graph, the distance between two
vertices is still equal to the length of the shortest
path joining the two vertices.
Find d(A, R)
WHAT IS THE DISTANCE FROM A TO E?

Find the distance from vertex F to vertex B

Find d(A, E)
LET’S TRY A HARD ONE!
DOES THE GRAPH BELOW CONTAIN A
HAMILTONIAN PATH? IF YES, NAME THE PATH.
DOES THE GRAPH BELOW CONTAIN A HAMILTONIAN
CIRCUIT? IF YES, NAME THE CIRCUIT.
REMIND
Quiz This Thursday 2016-11-24
 The Stencil is your homework (if not finished)
