On Perfect Matching Coverings and Even Subgraph Coverings. Issue 1 (4th March 2015)
- Record Type:
- Journal Article
- Title:
- On Perfect Matching Coverings and Even Subgraph Coverings. Issue 1 (4th March 2015)
- Main Title:
- On Perfect Matching Coverings and Even Subgraph Coverings
- Authors:
- Hou, Xinmin
Lai, Hong‐Jian
Zhang, Cun‐Quan - Abstract:
- Abstract: A perfect matching covering of a graph G is a set of perfect matchings of G such that every edge of G is contained in at least one member of it. Berge conjectured that every bridgeless cubic graph admits a perfect matching covering of order at most 5 (we call such a collection of perfect matchings a Berge covering of G ). A cubic graph G is called a Kotzig graph if G has a 3‐edge‐coloring such that each pair of colors forms a hamiltonian circuit (introduced by R. Häggkvist, K. Markström, J Combin Theory Ser B 96 (2006), 183–206). In this article, we prove that if there is a vertex w of a cubic graph G such that G − w ¯, the graph obtained from G − w by suppressing all degree two vertices is a Kotzig graph, then G has a Berge covering. We also obtain some results concerning the so‐called 5‐even subgraph double cover conjecture.
- Is Part Of:
- Journal of graph theory. Volume 81:Issue 1(2016)
- Journal:
- Journal of graph theory
- Issue:
- Volume 81:Issue 1(2016)
- Issue Display:
- Volume 81, Issue 1 (2016)
- Year:
- 2016
- Volume:
- 81
- Issue:
- 1
- Issue Sort Value:
- 2016-0081-0001-0000
- Page Start:
- 83
- Page End:
- 91
- Publication Date:
- 2015-03-04
- Subjects:
- matching cover -- cycle cover
Graph theory -- Periodicals
511 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0118 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/jgt.21863 ↗
- Languages:
- English
- ISSNs:
- 0364-9024
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4996.450000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 2393.xml