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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
40 views

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?
Yaroslav Bulatov's user avatar
0 votes

Maximum planar subgraph problem

See Section 3 in Beyond Planar Graphs presentation by DeMaine. …
Yaroslav Bulatov's user avatar
3 votes
0 answers
83 views

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 …
Yaroslav Bulatov's user avatar