Displaying similar documents to “Direct enumeration of chiral and achiral graphs of a polyheterosubstituted monocyclic cycloalkane.”

On the unitary Cayley graph of a finite ring.

Akhtar, Reza, Boggess, Megan, Jackson-Henderson, Tiffany, Jiménez, Isidora, Karpman, Rachel, Kinzel, Amanda, Pritikin, Dan (2009)

The Electronic Journal of Combinatorics [electronic only]


Towards a characterization of bipartite switching classes by means of forbidden subgraphs

Jurriaan Hage, Tero Harju (2007)

Discussiones Mathematicae Graph Theory


We investigate which switching classes do not contain a bipartite graph. Our final aim is a characterization by means of a set of critically non-bipartite graphs: they do not have a bipartite switch, but every induced proper subgraph does. In addition to the odd cycles, we list a number of exceptional cases and prove that these are indeed critically non-bipartite. Finally, we give a number of structural results towards proving the fact that we have indeed found them all. The search for...

Parity-alternating permutations and successions

Augustine Munagi (2014)

Open Mathematics


The study of parity-alternating permutations of {1, 2, … n} is extended to permutations containing a prescribed number of parity successions - adjacent pairs of elements of the same parity. Several enumeration formulae are computed for permutations containing a given number of parity successions, in conjunction with further parity and length restrictions. The objects are classified using direct construction and elementary combinatorial techniques. Analogous results are derived for circular...

On the domination number of prisms of graphs

Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley (2004)

Discussiones Mathematicae Graph Theory


For a permutation π of the vertex set of a graph G, the graph π G is obtained from two disjoint copies G₁ and G₂ of G by joining each v in G₁ to π(v) in G₂. Hence if π = 1, then πG = K₂×G, the prism of G. Clearly, γ(G) ≤ γ(πG) ≤ 2 γ(G). We study graphs for which γ(K₂×G) = 2γ(G), those for which γ(πG) = 2γ(G) for at least one permutation π of V(G) and those for which γ(πG) = 2γ(G) for each permutation π of V(G).