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| 1 | Labelings of Plane Graphs Containing Hamilton Path显示文摘这份报纸处理把一张飞机图的顶点,边和脸标记的问题。一张脸的重量是一张脸的标签和包围那张脸的顶点和边的标签的和。在标记的超级 d-antimagic,顶点收到最小的标签,所有站在一起 s 的脸的重量组成差别 d 的算术前进,为出现在图的每 s。纸为包含一条特殊哈密尔顿路径的飞机图检验如此的标记的存在。 | Martin BACA Ljiljana BRANKOVIC Andrea SEMANICOVA-FEnOVCIKOVA | 2011 | Acta Mathematica Sinica,English Series2011,27,4: | 2 |
| 2 | LABELINGS OF TWO CLASSES OF PLANE GRAPHS显示文摘The paper describes magic labelings of type (1,1,1) for two classes of graphs, which are obtained by a combination of vertex, edge and face labelings. | MARTIN BACA | 1993 | Acta Mathematicae Applicatae Sinica1993,9,1: | 0 |
| 3 | Strong Labelings of Linear Forests显示文摘一(p, q ) 如果,图 G 被称为超级边魔力在那里存在 bijective 功能 f:V (G)∪
E (G)→
{ 1, 2, ... , p+q } 以便 f (u)+f (υ
)+f (uυ) 是为每 uυε
E (G) 和 f (V (G)) 的一个常数 ={ 1, 2, ... , p } 。在这篇论文,我们介绍作为超级边魔力标记的一个特别的班标记的强壮的超级边魔力的概念,我们使用如此的标记以便证明像路径的树( mT )的一个奇怪的工会的超级边魔力标记的数字,所有他们一样的顺序,与 m 指数地至少成长。 | Martin BACA Yu Qing LIN Francesc A. MUNTANER-BATLE Miquel RIUS-FONT | 2009 | Acta Mathematica Sinica,English Series2009,25,12: | 0 |
| 4 | Face Labelings of Klein-bottle Fullerenes显示文摘The Klein-bottle fullerene is a finite trivalent graph embedded on the Klein-bottle such that each face is a hexagon. The paper deals with the problem of labeling the vertices, edges and faces of the Klein-bottle fullerene in such a way that the label of a face and the labels of the vertices and edges surrounding that face add up to a weight of that face and the weights of all 6-sided faces constitute an arithmetic progression of difference d. In this paper we study the existence of such labelings for several differences d. | Martin BACA Maria NASEEM Ayesha SHABBIR | 2017 | Acta Mathematicae Applicatae Sinica2017,33,2: | 0 |
| 5 | Vertex-antimagic Labelings of Regular Graphs显示文摘Let G = (V, E) be a finite, simple and undirected graph with p vertices and q edges. An (a, d)-vertex-antimagic total labeling of G is a bijection f from V (G) ∪ E(G) onto the set of consecutive integers 1, 2, . . . , p + q, such that the vertex-weights form an arithmetic progression with the initial term a and difference d, where the vertex-weight of x is the sum of the value f (x) assigned to the vertex x together with all values f (xy) assigned to edges xy incident to x. Such labeling is called super if the smallest possible labels appear on the vertices. In this paper, we study the properties of such labelings and examine their existence for 2r-regular graphs when the difference d is 0, 1, . . . , r + 1. | Ali AHMAD Kashif ALI Martin BACA Petr KOVAR Andrea SEMANICOVA-FENOVCíKOVA | 2012 | Acta Mathematica Sinica,English Series2012,28,9: | 0 |
| 6 | Integrating flexible electronics for pulsed electric field delivery in a vascularized 3D glioblastoma model显示文摘Glioblastoma is a highly aggressive brain tumor,very invasive and thus difficult to eradicate with standard oncology therapies.Bioelectric treatments based on pulsed electric fields have proven to be a successful method to treat cancerous tissues.However,they rely on stiff electrodes,which cause acute and chronic injuries,especially in soft tissues like the brain.Here we demonstrate the feasibility of delivering pulsed electric fields with flexible electronics using an in ovo vascularized tumor model.We show with fluorescence widefield and multiphoton microscopy that pulsed electric fields induce vasoconstriction of blood vessels and evoke calcium signals in vascularized glioblastoma spheroids stably expressing a genetically encoded fluorescence reporter.Simulations of the electric field delivery are compared with the measured influence of electric field effects on cell membrane integrity in exposed tumor cells.Our results confirm the feasibility of flexible electronics as a means of delivering intense pulsed electric fields to tumors in an intravital 3D vascularized model of human glioblastoma. | Marie C.Lefevre Gerwin Dijk Attila Kaszas Martin Baca David Moreau Rodney P.O’Connor | 2021 | npj Flexible Electronics2021,5,1: | 0 |