| 1. | The second result is on the local connectivity of the julia set of fc in its dynamical plane . we obtain theorem 2
我们得到的第二个结论是关于动力学平面上人的julia集的局部连通性：定理2 |
| 2. | / / the julia set j ( fc ) of fc is connected , then the boundary of the immediately attracting domain of fc at 0 is a jordan curve
L 。 a集是连通的，那么人在0 ，卢、的直接吸引域是joulan曲线，从而是局部连通的。 |
| 3. | In the second section of chapter three , we prove theorem 3 . 7 and a good example is given to show that the bound of locally connectivity is sharp
7的证明并且给出例子，说明该定理中的局部连通度的条件是最好可能的在53 3中，我们提出一个猜想，该猜想是由定理3gi ‘和定理3 |
| 4. | A further application of the puzzle theory , due to faught and hubbard , is the study of the julia sets and the connectedness locus of a cubic family with one critical fixed point
利用这个理论， faught和hubbard研究了有临界不动点的单参数三次多项式族的julia集及其连通迹的局部连通性。 |
| 5. | About almost claw - free graph , ryjacek proved the following theorem in [ 12 ] . theorem c [ 12 ] every connected , locally connected k1 , 4 - free almost claw - free graph is fully cycle extendable
在几乎无爪图方面ryjdeek ‘司证明了下面的结论：定理c卜连通、局部连通的ki ， 4 f陀e的几乎无爪图是完全圈可扩的 |
| 6. | In this paper we intrest in the following results of cycle : oberly and sumner proved the following result in [ 10 ] : theorem a [ 10 ] if g is a connected , locally connected claw - free graph on n > 3 vertices , then g is hamiltonian
本文感兴趣的是圈方面的以下结果： oberlyandsumner [ 10 ]证明了下面的结果：定理a顶点数不小于3的连通、局部连通的无爪图是哈密顿图 |
| 7. | Yoccoz introduced a powerful puzzle technique and obtained the result that if the quadratic polynomial pc ( z ) with , which has no indifferent cycle , is not infinitely renormalizable , then the julia set j ( pc ) of pc is locally connected while dm is also locally connected at c
利用这个技巧，他得到了对c m ，如果二次多项式pc ( z )不是无穷可重整化的，并且没有抛物周期点，那么julia集j ( pc )是局部连通的，并且m在c也是局部连通的。 |
| 8. | At the end of the last century , c . j . yoccoz is made significant contributions to the theory of complex dynamics , one of which is the study of the local connectivity of the julia sets of quadratic polynomials pc ( z ) = z2 + c and the mandelbrot set m . in his work
C yoccoz对复动力系统理论作出了重要的贡献，其中之一就是对二次多项式pc ( z ) = z ~ 2 + c的julia集和mandelbrot集m的局部连通性的研究。在他的工作中， yoccoz引进了一种强有力的方法? ?拼图技巧。 |
| 9. | Several authors observed that the assumptions of theorem a imply stronger cycle properties . hendry [ 3 ] ( and , later on independently ambartsumian et al [ 11 ] ) proved the following theorem : theorem b [ 3 ] , [ 11 ] every connected , locally connected claw - free graph on at least three vertices is fully cycle extendable
后来，许多图论专家发现该定理的条件暗含着更强的圈性质，其中hendry [ 3 ] (后来ambartsumianetal独立地)证明了下面的定理：定理b顶点数不小于3的连通、局部连通的无爪图是完全圈可扩的 |
