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It is shown that the product graph C4n+2×P4k+3 is graceful. 相似文献
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Variable neighborhood search for extremal graphs. 21. Conjectures and results about the independence number 总被引:1,自引:0,他引:1
Mustapha Aouchiche Gunnar Brinkmann Pierre Hansen 《Discrete Applied Mathematics》2008,156(13):2530-2542
A set of vertices S in a graph G is independent if no neighbor of a vertex of S belongs to S. The independence number α is the maximum cardinality of an independent set of G. A series of best possible lower and upper bounds on α and some other common invariants of G are obtained by the system AGX 2, and proved either automatically or by hand. In the present paper, we report on such lower and upper bounds considering, as second invariant, minimum, average and maximum degree, diameter, radius, average distance, spread of eccentricities, chromatic number and matching number. 相似文献
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Pavlo O. Kasyanov Luisa Toscano Nina V. Zadoianchuk 《Set-Valued and Variational Analysis》2013,21(2):271-282
We investigate additional regularity properties of all globally defined weak solutions, their global and trajectory attractors for a class of autonomous differential inclusion with upper semi-continuous interaction function, when initial data $u_{\tau}\in L^2(\Omega)$ . The main contributions of this paper are: (i) additional regularity and new topological properties of all weak solutions of parabolic feedback control problem with upper semi-continuous interaction function, (ii) a sufficient condition for regularity of global and trajectory attractors, and (iii) new a priory estimates for all weak solutions. 相似文献
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