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 ...

The effort will reinvent computer architecture, dramatically increasing efficiency and scalability for graph computing. Such a scope will be necessary to efficiently analyze the world’s largest graphs ...

The incidence matrices of various graphs are considered. By reordering the points, the bandwidth can be changed. In the cases of rectangular grids in the plane or cubic grids in three dimensions, the ...

To capture the heterozygosity of vertex degrees of networks and understand their distributions, a class of random graph models parameterized by the strengths of vertices is proposed. These models have ...