Acyclic edge coloring of triangle-free 1-planar graphs

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)
ID: 605461694
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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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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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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