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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

2 votes
1 answer
105 views

Exhaustive list of small graphs for which $\frac{\alpha(G)\omega(G)}{n}$ is small?

I am looking for a list of small graphs (say on less than 10 vertices) for which the parameter $p(G) = \frac{\alpha(G) \omega(G)}{n}$ is small. Here $\alpha(G)$ and $\omega(G)$ is the size of the larg …
Agile_Eagle's user avatar
1 vote
1 answer
111 views

Removing a face from 4-connected planar graph

After removing a face (vertices along with edges) of a 4-connected planar graph, is the remaining graph 4-connected? Alternatively under what conditions is this true?
Agile_Eagle's user avatar