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math.CO2018
Checkerboard colourable twisted duals
Qi Yan, Xian'an Jin
In this note we show that any embedded graph has a checkerboard colourable twisted dual and any Eulerian embedded graph has a checkerboard colourable partial Petrial, answering que…
math.GT2018
The generalized Yamada polynomials of virtual spatial graphs
Qingying Deng, Xian'an Jin, Louis H. Kauffman
Classical knot theory can be generalized to virtual knot theory and spatial graph theory. In 2007, Fleming and Mellor combined virtual knot theory and spatial graph theory to form,…