Operations on Graphs

←



ClawGraph

←



BullGraph

graph operation

union ⋃

disjoint union ⊎

difference -

intersection ⋂

⋃



All common graph operations and more are built into Mathematica 8. This Demonstration lets you choose two graphs and the operation to apply to them. The graph union of two graphs

G

and

H

is the graph whose vertices and edges are the union of the corresponding vertices and edges of

G

and

H

. Sometimes we want to see

G

and

H

as two disjoint structures that are to be put together to form a bigger one; then we use the disjoint union. The difference

G-H

is obtained by joining their vertices and deleting the edges of

H

from the edges of

G

. The intersection

G⋂H

is the graph obtained by joining the vertices and intersecting the edges.