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The number of outward directed graph edges from a given graph vertex in a directed graph.
The fraction eta of a volume filled by a given collection of solids.
A graph G is called d-polytopal if there exists a d-dimensional convex polytope P such that the vertices and edges of G are in a one-to-one incidence-preserving ...
A planar graph corresponding to polyhedra skeletons. The polyhedral graphs are special cases.
Maximize the amount of floor space which can be covered with a fixed tile (Hoffman 1998, p. 173).
A graph G is transitive if any three vertices (x,y,z) such that edges (x,y),(y,z) in G imply (x,z) in G. Unlabeled transitive digraphs are called digraph topologies.
The 3-node tournament (and directed graph) illustrated above (Harary 1994, p. 205).
A box can be packed with a harmonic brick a×ab×abc iff the box has dimensions ap×abq×abcr for some natural numbers p, q, r (i.e., the box is a multiple of the brick).
An arc-transitive graph, sometimes also called a flag-transitive graph, is a graph whose graph automorphism group acts transitively on its graph arcs (Godsil and Royle 2001, ...
A matchstick graph is a simple graph which has a graph embedding that is planar, for which all distances between vertices have unit distance, and which is non-degenerate (so ...
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