Information Technology Reference
In-Depth Information
Now, the AdIM has the form
ce f g
a 3000
b 2000
c 0110
e 0003
f 0001
=
.
P
By similar way we can represent a weighted graph. When we apply to AdIM P
operations “Sum-row-aggregation” and “Sum-column-aggregation”, we obtain the
IMs (they are not
(
0
,
1
)
-IM):
ce f g
k 5114
σ sum (
P
,
k
) =
and
l
a 3
b 2
c 2
e 3
f 1
ρ sum (
P
,
l
) =
that shows how many arcs enter and how many arcs leave the individual vertices.
We finish with three Open problems
1. Which other operations and relations can be defined over the three types of IMs
abd which properties they will have?
2. Which other applications of the IMs can be found in the area of number theory?
3. To represent the basic concepts related to graphs (e.g., path, diameter, etc.) and
properties (e.g., planarity, (dis)connectness, symmetry, etc.) of the graphs in IM-
form.
 
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