Skip to content

Opening book details…

Can I read Colouring of cubic graphs by Steiner triple systems on EtoBox?

Colouring of cubic graphs by Steiner triple systems by Fred Holroyd; Martin Škoviera is a Computer Science article available to read on EtoBox.

What is Colouring of cubic graphs by Steiner triple systems about?

Let S be a Steiner triple system and G a cubic graph. We say that G is S-colourable if its edges can be coloured so that at each vertex the incident colours form a triple of S: We show that if S is a projective system PGðn; 2Þ; nX2; then G is S-colourable if and only if it is bridgeless, and that every bridgeless cubic graph has an S-colouring for every Steiner triple system of order greater than 3. We establish a condition on a cubic graph with a bridge which ensures that it fails to have an S-colouring if S is an affine system, and we conjecture that this is the only obstruction to colouring any cubic graph with any non-projective system of order greater than 3.

Who reads Colouring of cubic graphs by Steiner triple systems?

It is typically read by researchers, students, and practitioners in Computer Science.

Author
Fred Holroyd; Martin Škoviera
Publisher
Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0095-8956)
Published
2004
Language
EN
Field
Computer Science (Physical Sciences)

More by Fred Holroyd; Martin Škoviera

Browse all works by Fred Holroyd; Martin Škoviera