1) upper embeddable
上可嵌入的
1.
Combined with the edge-connectivity,this paper investigated the upper embeddable graphs with specific minimum degree-sum of vertices in its independent-set,and obtained the fol- lowing results.
(1)设G是一个2-边连通简单图且满足条件：对任意一个G的3-独立集I,x_i,x_j∈I(i,j=1,2,3),d(x_i,x_j)≥3(1≤i≠j≤3)sum from i=1 to 3 d(x_i)≥v+1 (v=V(G)),则G是上可嵌入的；(2)设G是一个3-边连通简单图且满足条件：对任意一个G的6-独立集I,x_i,x_j∈I(i,j=1,2,3,4,5,6),d(x_i,x_j)≥3(1≤i≠j≤6)sum from i=1 to 6 d(x_i)≥v+1(v=|V(G)|),则G是上可嵌入的。
3) upper embeddable
上可嵌入
1.
Y·Liu and L·Nebseky have respectively given a sufficient and necessary condition on upper embeddable graphs.
自从Nordhaus等引入图的最大亏格以来,图的最大亏格以及图的上可嵌入引起了广泛关注。
2.
A graph is said to be upper embeddable if there exists a 2 cellular embedding on the orientable surface with one or two face.
若图G可2胞腔嵌入到可定向曲面S上,且G嵌入S后至多只有2个面,则称G在S上是上可嵌入的。
3.
Nebseky have respectively given a sufficient and necessary condition on upper embeddable graphs;Y.
关于图的上可嵌入性,刘彦佩和Nebseky分别给出不同形式的充要条件,黄元秋从另一相反角度出发,提供了一个关于不是上可嵌入图的充要条件。
4) upper embeddability
上可嵌入
1.
Combined with the relationship between the upper embeddability of graphs and the max degree of vetex in cycle,this paper proves the following results by using a sufficient and necessary condition on non-upper embeddable graphs:(1) Let G be a 2-edge-connected simple graph.
本文利用非上可嵌入图的充要条件,结合圈中顶点最大度与图的上可嵌入性之间的关系,得到了如下两个结果:(1)设G是2-边连通简单图,若对G中任意圈C,存在点x∈C满足:d(x)>3/|V(G)|+1,则图G是上可嵌入的,且不等式的下界是不可达的。
5) upper embeddability
上可嵌入性
1.
The New Neighbor Condition and the Upper Embeddability of Graphs;
新邻域条件与图的上可嵌入性
2.
This paper studies the relationship between the upper embeddability of graphs and independent number,the degree sum of nonadjacent vertices,obtains some new classes of upper embeddable graphs,and generalizes a relevant result.
本文研究了图的上可嵌入性与独立数、非邻节度点和之间的关系,得到了一些新的上可嵌入图类,推广了—个相关结果。
3.
By adding some restricted conditions for edges of a graph,this paper further studies the upper embeddability of graphs with diameter three or four,and obtains some new upper embeddable graphs.
通过对边添加一些限制条件,进一步研究了直径为3和4的图的上可嵌入性,得到了一些新的上可嵌入图类。
补充资料：Segre嵌入
Segre嵌入
Segre imbedding
Segre嵌入[段娜e如晚dd吨:Cerpe~狱e曲e} 射影空间的积p”x尸’到射影空间P伙N=附+改十爪)里的嵌人明尸”x尸门~p扮.如果x二(u。:…:u。)任p”，夕二(v。:…:v。)6p用，且w，z(i=0，”‘，‘j“o，‘”，m)是pN里的齐次坐标，则映射由以下公式定义: 中(x，夕)=(w‘，，)〔p“.这里w，.，=“.v，·映射甲是正确定义的而且是闭嵌人.5等e嵌人的象中(尸”xp’)称为跳ge簇(Seg-re~ty).当n=川二l时有一个简单的几何意义:p〔尸’x尸’)是P’里的非奇异二次曲面，具有方程w，，w。。=*。卫wJ。.象势恤x尸’)和势(尸’x夕)给出了二次曲面的两族生成直线. 此术语是为了纪念B .Segre.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条