Questions tagged [special-graphs]
The special-graphs tag is intended for questions that are related to graphs with special properties, especially for named graphs.
5 questions
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Degree Distribution of Planar Minimum Spanning Trees
Question:
how are the vertex degrees of MSTs of the corresponding points that are uniformly and independently distributed in a square region of the euclidean plane and the edges being weighted with ...
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LP Constraints for Bridgeless Cactus Graphs
When trying to determine the optimal bridgeless spanning cactus graph of a weighted, symmetric graph, I got stuck.
What I do not know how to capture, is
the variable number and sizes of the cycles
...
2
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1
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Maximal Vertex Degree of MSTs in Euclidean Spaces
Are there any Euclidean spaces, in which the maximal vertex degree of MSTs (Minimum Spanning Trees) of a finite set of points and edge weights equal to Euclidean distance, isn't equal to the kissing ...
2
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What are Interesting Questions about Families of Graphs?
In my recreational occupation with the TSP I encountered a family of graphs, which I would like to call "Möbius Sponges" because they generalize the Möbius Ladder graphs in a way, that may provide an ...
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Relation of Convex Polygons to Halin Graphs
Can every Halin graph be visualized as the union of a planar, strictly convex polygon with its Voronoi Diagram?
It is true, that every union of a strictly convex planar polygon with its Voronoi ...