3 citations · 4 across the 3 of their papers we have counts for
5 papers
Graph Invariants with Connections to the Feynman Period in Theory
Iain Crump
Feynman diagrams in theory have as their underlying structure 4-regular graphs. In particular, any 4-point graph can be uniquely derived from a 4-regular graph by delet…
Properties of the Extended Graph Permanent
Iain Crump
Previously, the graph permanent was introduced as a single-valued invariant for graphs with for some . Herein, we construct the ex…
Period Preserving Properties of an Invariant from the Permanent of Signed Incidence Matrices
Iain Crump, Matt DeVos, Karen Yeats
A 4-point Feynman diagram in scalar theory is represented by a graph which is obtained from a connected 4-regular graph by deleting a vertex. The associated Feynman integ…
Forbidden Minors For 3-Connected Graphs With No Non-Splitting 5-Configurations
Iain Crump
For a set of five edges, a graph splits if one of the associated Dodgson polynomials is equal to zero. A graph G splitting for every set of five edges is a minor-closed property. A…
Forbidden minors for graphs with no first obstruction to parametric Feynman integration
Samson Black, Iain Crump, Matt DeVos +1
We give a characterization of 3-connected graphs which are planar and forbid cube, octahedron, and minors, where is the graph which is one away from each of the cube…