Isomorphisms and automorphisms of graph coverings

Isomorphisms of some graph coverings

✍ Iwao Sato 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 555 KB

Let G be a connected graph and r a group of automorphisms of G. We enumerate the number of r-isomorphism classes of derived graph coverings of G with voltages in a finite field of prime order P (>2).

Automorphisms of graphs and coverings

✍ D.Z̆ Djoković 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 242 KB

Automorphism Groups of Covering Graphs

✍ Norbert Seifter; Vladimir I. Trofimov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 226 KB

For a large class of finite Cayley graphs we construct covering graphs whose automorphism groups coincide with the groups of lifted automorphisms. As an application we present new examples of 1Â2-transitive and 1-regular graphs.

Enumeration of connected graph coverings

✍ Kwak, Jin Ho; Lee, Jaeun 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 1 views

The number of the isomorphism classes of n-fold coverings of a graph G is enumerated by the authors (Canad.

Zeta Functions of Graph Coverings

✍ Hirobumi Mizuno; Iwao Sato 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 123 KB

We give a decomposition formula for the zeta function of a group covering of a graph.

Regular graph coverings whose covering t

Regular graph coverings whose covering transformation groups have the isomorphism extension property

✍ Sungpyo Hong; Jin Ho Kwak; Jaeun Lee 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 870 KB

Enumerative results are presently a major center of interest in topological graph theory, as in the work of Gross and Furst [1], Hofmeister [5,6], and Mull et al. [15], etc. Kwak and Lee [9] enumerated the isomorphism classes of graph bundles and those of n-fold graph coverings with respect to a gr