Acyclic edge coloring of triangle-free 1-planar graphs
Gespeichert in:
Verfasser / Beitragende:
[Wen Song, Lian Miao]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/10(2015-10-01), 1563-1570
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4479-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4479-y | ||
| 245 | 0 | 0 | |a Acyclic edge coloring of triangle-free 1-planar graphs |h [Elektronische Daten] |c [Wen Song, Lian Miao] |
| 520 | 3 | |a A proper edge coloring of a graph G is acyclic if there is no 2-colored cycle in G. The acyclic chromatic index of G, denoted by χ′ a (G), is the least number of colors such that G has an acyclic edge coloring. A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is proved that χ′ a (G) ≤ Δ(G)+22, if G is a triangle-free 1-planar graph. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Acyclic chromatic index |2 nationallicence | |
| 690 | 7 | |a acyclic edge coloring |2 nationallicence | |
| 690 | 7 | |a 1-planar graph |2 nationallicence | |
| 700 | 1 | |a Song |D Wen |u Institute of Mathematics, China University of Mining and Technology, 221116, Xuzhou, P. R. China |4 aut | |
| 700 | 1 | |a Miao |D Lian |u Institute of Mathematics, China University of Mining and Technology, 221116, Xuzhou, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1563-1570 |x 1439-8516 |q 31:10<1563 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4479-y |q text/html |z Onlinezugriff via DOI |
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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4479-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Song |D Wen |u Institute of Mathematics, China University of Mining and Technology, 221116, Xuzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Miao |D Lian |u Institute of Mathematics, China University of Mining and Technology, 221116, Xuzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/10(2015-10-01), 1563-1570 |x 1439-8516 |q 31:10<1563 |1 2015 |2 31 |o 10114 | ||