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Graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects.
1
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Planarity testing of directed graph and 3d grid
I wonder if there exist definitions (and known algorithms) of planarity testing for the following case:
1- A directed graph
let $G=(V=\{1,\ldots,n\},E)$ be a directed graph.
Assume $e_{ij} =(v_i,v …
0
votes
2
answers
396
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Efficient algorithm for testing planarity of the union of two planar graphs
Let $G_1 = (V,E_1)$ and $G_2 = (V,E_2)$ both be planar graphs.
Is there an efficient algorithm to check whether the union $G = (V,E_1\cup E_2)$ is planar?
That is, an algorithm more efficient than t …
2
votes
0
answers
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What can i learn about a graph about which only certain properties are known [closed]
1) Suppose we are given the following facts about a graph. What can we conclude/compute beyond these facts?
The fact that graph $G(V,E)$ is planar, and thus that it is 4-colorable,
The degree of eac …
2
votes
1
answer
557
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Graph planarity testing via adjacency matrix
I have looked at several efficient graph planarity algorithms which
rely on computing and traversing DFS trees
(that add one vertex/edge/path at a time).
I am looking for graph planarity algorithms …