On conway-gordon type theorems for graphs in the petersen family

Hashimoto H.; Nikkuni R.

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On conway-gordon type theorems for graphs in the petersen family

机译：彼得森家族中图的conway-gordon型定理

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For every spatial embedding of each graph in the Petersen family, it is known that the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 modulo 2. In this paper, we give an integral lift of this formula in terms of the square of the linking number and the second coefficient of the Conway polynomial.

机译：对于Petersen族中每个图的每个空间嵌入，已知所有组成2分量链接上的链接数之和等于1模2。在本文中，我们给出了该公式的积分提升用链接数的平方和Conway多项式的第二个系数表示。

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《Journal of knot theory and its ramifications》 |2013年第9期|共15页
作者
Hashimoto H.; Nikkuni R.;
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正文语种 eng
中图分类 51.5924;
关键词
ΔY-exchange; intrinsic linkedness; Spatial graph;

机译：ΔY交换;内在联系;空间图;

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专利

1. On conway-gordon type theorems for graphs in the petersen family [J] . Hashimoto H., Nikkuni R. Journal of knot theory and its ramifications . 2013,第9期

机译：彼得森家族中图的conway-gordon型定理
2. Regular graphs, regular factors, and the impact of Petersen's Theorems [J] . L. Volkmann Jahresbericht der Deutschen Mathematiker-Vereinigung . 1995,第1期

机译：规则图，规则因子以及彼得森定理的影响
3. FACTORISATIONS OF 4-REGULAR GRAPHS AND PETERSENS THEOREM [J] . Kouider M., Sabidussi G. Journal of Combinatorial Theory, Series B . 1995,第2期

机译：4常规图的分解和彼德森定理
4. Type Synthesis of a Family of 3-DOF Spherical Parallel Mechanisms Using Upper-Lower Combination and Axis Movement Theorem [C] . Rongfu Lin, Weizhong Guo, Feng Gao ASME/IFToMM International Conference on Reconfigurable Mechanisms and Robots . 2016

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5. Cycle spectra, automorphic uniqueness, and isomorphism classes of generalized Petersen graphs. [D] . Sanford, Alice Jewel. 2005

机译：广义Petersen图的循环谱，自守唯一性和同构类。
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7. 3 ON CONWAY-GORDON TYPE THEOREMS FOR GRAPHS IN THE PETERSEN FAMILY [O] . Hiroka Hashimoto, Ryo Nikkuni 2016

机译：3关于pETERsEN家庭图的CONWaY-GORDON型定理

On conway-gordon type theorems for graphs in the petersen family

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