Reflexive coloring complexes for 3-edge-colorings of cubic graphs

Given a 3-colorable graph X , the 3-coloring complex B ( ) is whose vertices are all independent sets which occur as color classes in some of . Two C D ∈ V joined by an edge if and appear together The 3-colorable. Graphs for isomorphic to termed reflexive graphs. In this paper, we consider 3-edge-colorings cubic graphs allow half-edges. Then complexes their line main result paper surprising outcome that any connected triangle-free outerplanar reflexive. We also exhibit other interesting