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51.
Xiaoyan Jiang Heping Zhang 《Discrete Applied Mathematics》2011,159(15):1581-1593
Let G be a graph that admits a perfect matching M. A forcing set S for a perfect matching M is a subset of M such that it is contained in no other perfect matchings of G. The smallest cardinality of forcing sets of M is called the forcing number of M. Computing the minimum forcing number of perfect matchings of a graph is an NP-complete problem. In this paper, we consider boron-nitrogen (BN) fullerene graphs, cubic 3-connected plane bipartite graphs with exactly six square faces and other hexagonal faces. We obtain the forcing spectrum of tubular BN-fullerene graphs with cyclic edge-connectivity 3. Then we show that all perfect matchings of any BN-fullerene graphs have the forcing number at least two. Furthermore, we mainly construct all seven BN-fullerene graphs with the minimum forcing number two. 相似文献
52.
Jintana Sanwong 《代数通讯》2013,41(12):4591-4596
In this article, we prove that for any multiplication module M, the forcing linearity number of M, fln(M), belongs to {0,1,2}, and if M is finitely generated whose annihilator is contained in only finitely many maximal ideals, then fln(M) = 0. Also, the forcing linearity numbers of multiplication modules over some special rings are given. We also show that every multiplication module is semi-endomorphal. 相似文献
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一类带强迫项的二阶脉冲时滞微分方程的振动性 总被引:1,自引:0,他引:1
给出引理解决了一类带强迫项的二阶脉冲时滞微分方程的非振动解与其导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明准则的有效性。 相似文献
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56.
Alvaro H. Salas 《Applied mathematics and computation》2010,216(8):2333-2338
In this paper, the Cole-Hopf transform is used to construct exact solutions to a generalization of both the seventh-order Lax KdV equation (Lax KdV7) and the seventh-order Sawada-Kotera-Ito KdV equation (Sawada-Kotera-Ito KdV7 ) with forcing term. 相似文献
57.
Milo
S. Kurili 《Annals of Pure and Applied Logic》2003,120(1-3):225-236
If a˜cardinal κ1, regular in the ground model M, is collapsed in the extension N to a˜cardinal κ0 and its new cofinality, ρ, is less than κ0, then, under some additional assumptions, each cardinal λ>κ1 less than cc(P(κ1)/[κ1]<κ1) is collapsed to κ0 as well. If in addition N=M[f], where f : ρ→κ1 is an unbounded mapping, then N is a˜|λ|=κ0-minimal extension. This and similar results are applied to generalized forcing notions of Bukovský and Namba. 相似文献
58.
Arthur W. Apter 《Mathematical Logic Quarterly》1999,45(4):551-560
Starting with a model for “GCH + k is k+ supercompact”, we force and construct a model for “k is the least measurable cardinal + 2k = K+”. This model has the property that forcing over it with Add(k,k++) preserves the fact k is the least measurable cardinal. 相似文献
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