Abstract
We call a simple graph G a linear N-graph if its ordinary (vertex) chromatic number equals to the linear chromatic number of its neighborhood complex N(G). We prove that the linearity is preserved under taking joins and multiplication of vertices, and give a complete characterization of linear N-trees.
Faculty Sponsor
Yusuf Civan
Recommended Citation
Taylan, Demet and Baser, Gulnur
(2007)
"Linear N-Graphs,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 8:
Iss.
1, Article 9.
Available at:
https://scholar.rose-hulman.edu/rhumj/vol8/iss1/9