TY - JOUR
AU - Coleman Kane
AU - Diego Novoa
AU - Laura Scull
AU - Jonathon Thompson
PY - 2020/02/19
Y2 - 2021/03/02
TI - Defining a Zeroth Homotopy Invariant for Graphs
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 3
IS - 0
SE - Articles
DO -
UR - https://journals.calstate.edu/pump/article/view/2250
AB - We define a zeroth homotopy π0(G) for a graph G. Our definition is a variation on the usual set of connected components and has the structure of a graph, and not just a set. We prove that our π0 is functorial and respects products: π0(G x H) ≅ π0(G) x π0(H), a property that the set of components fails to have.
ER -