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Questions tagged [special-graphs]

The special-graphs tag is intended for questions that are related to graphs with special properties, especially for named graphs.

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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 ...
Manfred Weis's user avatar
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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 ...
Manfred Weis's user avatar
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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 ...
Manfred Weis's user avatar
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2 votes
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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 ...
Manfred Weis's user avatar
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1 vote
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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 ...
Manfred Weis's user avatar
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