[1] Feng Yun, Lin Wensong,. Adjacent vertex-distinguishing total colorings of K^-ss∨Ktt [J]. Journal of Southeast University (English Edition), 2013, 29 (2): 226-228. [doi:10.3969/j.issn.1003-7985.2013.02.021]
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Adjacent vertex-distinguishing total colorings of K^-ss∨Ktt(
)
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 29
- Issue:
- 2013 2
- Page:
- 226-228
- Research Field:
- Mathematics, Physics, Mechanics
- Publishing date:
- 2013-06-20
Info
- Title:
- Adjacent vertex-distinguishing total colorings of K^-ss∨Ktt
- Author(s):
- Feng Yun; Lin Wensong
- Department of Mathematics, Southeast University, Nanjing 211189, China
- Keywords:
- adjacent vertex-distinguishing total coloring; adjacent vertex-distinguishing total chromatic number; join graph
- PACS:
- O157.5
- DOI:
- 10.3969/j.issn.1003-7985.2013.02.021
- Abstract:
- Let G be a simple graph and f be a proper total k-coloring of G. The color set of each vertex v of G is the set of colors appearing on v and the edges incident to v. The coloring f is said to be an adjacent vertex-distinguishing total coloring if the color sets of any two adjacent vertices are distinct. The minimum k for which such a coloring of G exists is called the adjacent vertex-distinguishing total chromatic number of G. The join graph of two vertex-disjoint graphs is the graph union of these two graphs together with all the edges that connect the vertices of one graph with the vertices of the other. The adjacent vertex-distinguishing total chromatic numbers of the join graphs of an empty graph of order s and a complete graph of order t are determined.
References:
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[9] Hulgan J. Concise proofs for adjacent vertex-distinguishing total colorings [J]. Discrete Math, 2009, 309(8): 2548-2550.
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Memo
- Memo:
-
Biographies: Feng Yun(1981—), male, graduate; Lin Wensong(corresponding author), male, doctor, professor, wslin@seu.edu.cn.
Foundation item: The Fundamental Research Funds for the Central Universities of China(No.3207013904).
Citation: Feng Yun, Lin Wensong.Adjacent vertex-distinguishing total colorings of K^-ss∨Ktt[J].Journal of Southeast University(English Edition), 2013, 29(2):226-228.[doi:10.3969/j.issn.1003-7985.2013.02.021]