To cement the question, consider a simple example: a graph with three connected vertices in the shape of a triangle. You can isolate any two vertices and see that they share an odd number of ...

Aerospike has optimized its database to deliver two to five “hops,” which is the number of traversals a query makes as it travels along vertices to find other connected nodes, within a short amount of ...

Consider a graph on randomly scattered points in an arbitrary space, with any two points x, y connected with probability ϕ (x, y). Suppose the number of points is large but the mean number of isolated ...

The crossing number cr (G) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. In the paper, the crossing number of the join product G∗ + Dn for the connected ...