R-Dynamic Coloring on Snark Families. (May 2020)
- Record Type:
- Journal Article
- Title:
- R-Dynamic Coloring on Snark Families. (May 2020)
- Main Title:
- R-Dynamic Coloring on Snark Families
- Authors:
- Gomathi, C.S.
Mohanapriya, N.
Dafik, D. - Abstract:
- Abstract: An r-dynamic coloring of a graph is a proper minimum coloring of the vertices such that | c ( N ( υ ) ) | ≥ min { r, d e g G ( υ ) }, for each υ ∈ V ( G ) and it is denoted by χ r ( G ) . Snark are bridgeless cubic connected graph in which every vertex has three neighbors. In this paper, we shown the r-dynamic coloring for Celmins-swart snark, Double star snark, Loupekine snark, Szekeres snark, Watkins snark and infinite family of flower snark with its special case as Tietze's graph. This result reinforce that most of the snark are 6-colorable for its maximum degree and also we give the procedures to construct a r-dynamic coloring of each snark.
- Is Part Of:
- Journal of physics. Volume 1543(2020)
- Journal:
- Journal of physics
- Issue:
- Volume 1543(2020)
- Issue Display:
- Volume 1543, Issue 1 (2020)
- Year:
- 2020
- Volume:
- 1543
- Issue:
- 1
- Issue Sort Value:
- 2020-1543-0001-0000
- Page Start:
- Page End:
- Publication Date:
- 2020-05
- Subjects:
- Physics -- Congresses
530.5 - Journal URLs:
- http://www.iop.org/EJ/journal/1742-6596 ↗
http://ioppublishing.org/ ↗ - DOI:
- 10.1088/1742-6596/1543/1/012002 ↗
- Languages:
- English
- ISSNs:
- 1742-6588
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5036.223000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 25336.xml