A graph G is uniquely k-colorable if the chromatic number of G is k and G has only one k-coloring up to permutation of the colors. In this paper, we give three ...
Oct 13, 2017 · PDF | On Jun 1, 2016, Zepeng Li and others published Constructions of Uniquely 3-Colorable Graphs | Find, read and cite all the research you ...
A graph G is uniquely k-colorable if the chromatic number of G is k and G has only one k-coloring up to permutation of the colors. In this paper, we give three ...
People also ask
Which graphs are 3 colorable?
What is the 3 color theorem?
What is the 3 colorable problem?
Are all 2 Colourable graphs bipartite?
Mar 20, 2023 · I believe that this conjecture would also prove that all planar triangle free graphs are 3-colorable, since they can't be uniquely colored and ...
Uniquely N-colorable and Chromatically Equivalent Graphs · C. Chao. Mathematics. 2001 ; Constructions of Uniquely 3-Colorable Graphs · Zepeng LiJin Xu.
(1) For each integer n> 12, there exists a uniquely 3-colorable graph with n vertices and without any triangles. (2) There exist infinitely many uniquely 3- ...
Form G by identifying u1 with u2 and adding edge v1v2. Show that G is uniquely 3-colorable. c. Describe a method for constructing a uniquely 3-colorable graph ...
In this paper, we introduce a new conjecture which connects conjectures of uniquely 3-edge colorable pla- nar graphs with those of uniquely 3-edge colorable non ...
Let G be a planar cubic graph with at least 4 vertices. If G is a uniquely edge-3-colorable cubic graph, then G has a triangle. Since contracting a triangle to ...
We prove that any uniquely. 3-colorable graph on the projective plane contains at least one triangle. Furthermore, we report the finiteness of uniquely 3- ...