# Discrete Mathematics

Discrete Mathematics > 1994 > 134 > 1-3 > 133-138

Discrete Mathematics > 1994 > 134 > 1-3 > 65-73

_{r}, b

_{k}). Moreover, as further examples occur regular graphs and also some previously unknown and more irregular structures which are discussed in this paper.

Discrete Mathematics > 1994 > 134 > 1-3 > 111-124

Discrete Mathematics > 1994 > 134 > 1-3 > 25-39

^{(}

^{2}

^{k}

^{)}obtained from H. Assuming that H is suitably imbedded in some orientable surface by modifying the edges of H according to the configuration of G we get the permutation voltage graph H

^{(}

^{2}

^{k}

^{)}whose permutation derived graph is...

Discrete Mathematics > 1994 > 134 > 1-3 > 63-64

_{5}

_{7}, thereby completing the classification of distance-transitive antipodal covering graphs with r=k.

Discrete Mathematics > 1994 > 134 > 1-3 > 9-16

Discrete Mathematics > 1994 > 134 > 1-3 > 125-131

Discrete Mathematics > 1994 > 134 > 1-3 > 139-150

Discrete Mathematics > 1994 > 134 > 1-3 > 49-62

Discrete Mathematics > 1994 > 134 > 1-3 > 85-91

Discrete Mathematics > 1994 > 134 > 1-3 > 93-98

_{4}.

Discrete Mathematics > 1994 > 134 > 1-3 > 3-8

Discrete Mathematics > 1994 > 134 > 1-3 > 161-175

Discrete Mathematics > 1994 > 134 > 1-3 > 151-160

_{q}

^{k},

_{q}

^{k}, whereq is the power of a prime number and k is any positive integer. Relations with associated distance-biregular graphs are also considered, resulting in the construction of a family of distance-bitransitive graphs.

Discrete Mathematics > 1994 > 134 > 1-3 > 17-24

Discrete Mathematics > 1994 > 134 > 1-3 > 75-84

Discrete Mathematics > 1994 > 134 > 1-3 > 99-110

^{2}) on the cosets of PGL(2, q) which allows a construction of the corresponding orbital graphs is given.

Discrete Mathematics > 1994 > 134 > 1-3 > 41-47

Discrete Mathematics > 1994 > 135 > 1-3 > 371-375

Discrete Mathematics > 1994 > 135 > 1-3 > 93-101

_{1}= 1 ,a

_{n}

_{+}

_{1}= sa

_{n}+ t θa

_{m}, where s, t are integers, and θ is a quadratic irrationality. Under appropriate hypotheses (especially that s + tθ be a PV-number) it is proved that the highest power of Δ that dividesa

_{n}, where Δ is the discriminant of θ, tends...