Nonorientable genera of Petersen powers

Verfasser / Beitragende:
[Wen Liu, Ting Shen, Yi Chen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/4(2015-04-01), 557-564
Format:
Artikel (online)
ID: 605461872
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024 7 0 |a 10.1007/s10114-015-4096-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4096-9 
245 0 0 |a Nonorientable genera of Petersen powers  |h [Elektronische Daten]  |c [Wen Liu, Ting Shen, Yi Chen] 
520 3 |a In the paper, we prove that for every integer n ≥ 1, there exists a Petersen power P n with nonorientable genus and Euler genus precisely n, which improves the upper bound of Mohar and Vodopivec's result [J. Graph Theory, 67, 1-8 (2011)] that for every integer k (2 ≤ k ≤ n−1), a Petersen power P n exists with nonorientable genus and Euler genus precisely k. 
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 Dot product  |2 nationallicence 
690 7 |a Petersen power  |2 nationallicence 
690 7 |a genus  |2 nationallicence 
700 1 |a Liu  |D Wen  |u Department of mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China  |4 aut 
700 1 |a Shen  |D Ting  |u Department of mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China  |4 aut 
700 1 |a Chen  |D Yi  |u College of Mathematics and Econometrics, Hu'nan University, 410082, Changsha, 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 31/4(2015-04-01), 557-564  |x 1439-8516  |q 31:4<557  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4096-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liu  |D Wen  |u Department of mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shen  |D Ting  |u Department of mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Yi  |u College of Mathematics and Econometrics, Hu'nan University, 410082, Changsha, 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 31/4(2015-04-01), 557-564  |x 1439-8516  |q 31:4<557  |1 2015  |2 31  |o 10114