H-absorbence and H-independence in 3-quasi-transitive H-coloured digraphs.

In this paper we prove that if $D$ is a loopless asymmetric 3-quasi-transitive arc-coloured digraph having its arcs coloured with the vertices of a given digraph $H$, and if in $D$ every $C_4$ is an $H$-cycle and every $C_3$ is a quasi-$H$-cycle, then $D$ has an $H$-kernel

Tournaments with kernels by monochromatic paths

In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in which every cyclic tournament of order 3 is atmost 2-coloured in addition to other restrictions on the colouring ofcertain subdigraphs. We point out that in all previous results on kernelsby monochromatic paths in arc coloured tournaments, certain smallsubstructures are required to be monochromatic or monochromatic with atmost one exception, whereas here we allow up to three colours in two smallsubstructures

Abstract polytopes and projective lines, the chiral case

Non UBCUnreviewedAuthor affiliation: UNAMOthe

Flag-transitive symmetric designs

EThOS - Electronic Theses Online ServiceGBUnited Kingdo

Tournaments with kernels by monochromatic paths

In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in which every cyclic tournament of order 3 is atmost 2-coloured in addition to other restrictions on the colouring ofcertain subdigraphs. We point out that in all previous results on kernelsby monochromatic paths in arc coloured tournaments, certain smallsubstructures are required to be monochromatic or monochromatic with atmost one exception, whereas here we allow up to three colours in two smallsubstructures

H-absorbence and H-independence in 3-quasi-transitive H-coloured digraphs.

In this paper we prove that if $D$ is a loopless asymmetric 3-quasi-transitive arc-coloured digraph having its arcs coloured with the vertices of a given digraph $H$, and if in $D$ every $C_4$ is an $H$-cycle and every $C_3$ is a quasi-$H$-cycle, then $D$ has an $H$-kernel

Projective linear groups as automorphism groups of chiral polytopes

info:eu-repo/semantics/publishe

Chiral polyhedra and projective lines

info:eu-repo/semantics/publishe