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Questions about graphs, discrete structures of nodes which are connected by edges, including trees and graphs with weighted edges.
0
votes
1
answer
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Name of this graph family?
Suppose I start with a directed chain graph of length $n$:
And then I add $k$ edges, with a restriction that the result is a planar DAG:
Is there a name for this graph family?
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Maximum planar subgraph problem
See Section 3 in Beyond Planar Graphs presentation by DeMaine. …
3
votes
0
answers
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Cost of finding optimal elimination order in a planar tensor network?
For planar graphs, the "ratcatcher" algorithm takes $O(n^3)$ time to find elimination order where the slowest step has cost $d^c$ (page 12 of Branch and Tree Decomposition Techniques for
Discrete Optimization …