Bitmap based representation can also be used for representing a data structure which is labeled and directed attributed multigraph, used for queries in graph databases.
12.
Every rotation scheme defines a unique 2-cell embedding of a connected multigraph on a closed oriented surface ( up to orientation preserving topological equivalence ).
13.
To recover a multigraph from a rotation system, we form a vertex for each orbit of ?, and an edge for each orbit of ?.
14.
In 1942, he took a promotion from Addressograph-Multigraph to move to Grand Rapids, Michigan where he established a successful business machines sales agency.
15.
The result is a 2-cell embedding of the derived multigraph, the two-cells of which are the disks corresponding to the orbits of ??.
16.
For instance, the multigraph formed by doubling each edge of a triangle has maximum degree four but cannot be edge-colored with fewer than six colors.
17.
A multigraph version of a collaboration graph has also been considered where two mathematicians are joined by k edges if they co-authored exactly k papers together.
18.
Where graphs are defined so as to " allow " both multiple edges and loops, a multigraph is often defined to mean a graph without loops.
19.
If a multigraph is embedded on an orientable but not oriented surface, it generally corresponds to two rotation systems, one for each of the two orientations of the surface.
20.
Attributed because both nodes and edges may have attributes and Multigraph meaning that there may be multiple edges between the same nodes even if they are from the same edge type.
