Bellarosa, L.; Fowler, P. W.; Lijnen, E.; and Deza, M. "Addition Patterns in Carbon Allotropes: Independence Numbers and -Codes in the Klein and Related Graphs." J. Chem. Inf.
Comput. Sci.44, 1314-1323, 2004.Ceulemans, A.; King, R. B.;
Bovin, S. A.; Rogers, K. M.; Troisi, A.; and Fowler, P. W. "The
Heptakisoctahedral Group and Its Relevance to Carbon Allotropes with Negative Curvature."
J. Math. Chem.26, 101-123, 1999.DistanceRegular.org.
"Klein Graph." https://www.math.mun.ca/distanceregular/graphs/klein.html.House
of Graphs. Klein Graphs. Klein Distance
2 Graph, Klein Graph, and
Klein Graph 120.King,
R. B. "Chemical Applications of Topology and Group Theory, 29, Low Density
Polymeric Carbon Allotropes Based on Negative Curvature Structures." J. Phys.
Chem.100, 15096-15104, 1996.King, R. B. "Novel
Highly Symmetrical Trivalent Graphs Which Lead to Negative Curvature Carbon and Boron
Nitride Chemical Structures." Disc. Math.244, 203-210, 2002.Klein,
F. "Über die Transformationen siebenter Ordnung der elliptischen Funktionen."
Math. Ann.14, 428-471, 1879. Reprinted in Gesammelte Mathematische
Abhandlungen, 3: Elliptische Funktionen etc. (Ed. R. Fricke et al. ).
Berlin: Springer-Verlag, pp. 90-136, 1973.Levy, S. (Ed.). The
Eightfold Way: The Beauty of the Klein Quartic. New York: Cambridge University
Press, 1999.
.
This graph is illustrated above in four order-4 LCF notations.
but is not distance-transitive.
.
-Codes in the Klein and Related Graphs." J. Chem. Inf.
Comput. Sci. 44, 1314-1323, 2004.Ceulemans, A.; King, R. B.;
Bovin, S. A.; Rogers, K. M.; Troisi, A.; and Fowler, P. W. "The
Heptakisoctahedral Group and Its Relevance to Carbon Allotropes with Negative Curvature."
J. Math. Chem. 26, 101-123, 1999.DistanceRegular.org.
"Klein Graph."