On the Relations of Graph Parameters and Its Total Parameters

In this paper we get some relations between α(G), α'(G), β(G), β'(G) and αT(G), βT(G). And all bounds in these relations are best possible, where α(G), α'(G),/3(G), β(G), αT(G) and βT(G) are the covering number, edge-covering number, independent number, edge-independent number (or matching number),...

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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2010-07, Vol.26 (3), p.525-528
Hauptverfasser: Li, Jing-wen, Wang, Zhi-wen, Lee, Jaeun, Sohn, Moo Young, Zhang, Zhong-fu, Zhu, En-qiang
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Sprache:eng
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Zusammenfassung:In this paper we get some relations between α(G), α'(G), β(G), β'(G) and αT(G), βT(G). And all bounds in these relations are best possible, where α(G), α'(G),/3(G), β(G), αT(G) and βT(G) are the covering number, edge-covering number, independent number, edge-independent number (or matching number), total covering number and total independent number, respectively.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-008-8152-4