Tree-minimal graphs are almost regular

Tree-minimal graphs are almost regular
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树最小图几乎是规则的

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
M. Schacht
M. Schacht
中科院分区:
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文献类型:
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作者:
D. Dellamonica;P. Haxell;T. Luczak;D. Mubayi;B. Nagle;Y. Person;V. Rödl;M. Schacht

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已知该猜想适用于几类图 F ,包括森林、偶循环和完全二分图 [7]、布尔立方体 [5] 以及包含与其他顶点类中的每个顶点相连的顶点的二分图 F [3]。 (1) 中的界限是渐近最好的,例如随机图 G(n, p),更一般地,密度 p 的准随机图
This conjecture is known to hold for several classes of graphs F , including forests, even cycles, and complete bipartite graphs [7], Boolean cubes [5] and bipartite graphs F which contain a vertex that is connected to every vertex in the other vertex class [3]. The bound in (1) is asymptotically best possible, as for example the random graph G(n, p) and, more generally, quasi-random graphs of density p