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13 papers · 1 filter
Quasicrystalline Chern Insulators
Ai-Lei He, Lu-Rong Ding, Yuan Zhou +2
Chern insulator or quantum anomalous Hall state is a topological state with integer Hall conductivity but in absence of Landau level. It had been well established on various two-di…
Partially normal 5-edge-colorings of cubic graphs
Ligang Jin, Yingli Kang
In a proper edge-coloring of a cubic graph, an edge is normal if the set of colors used by the edges adjacent to has cardinality 3 or 5. The Petersen coloring conjecture as…
The Alon-Tarsi number of planar graphs without cycles of lengths and
Huajing Lu, Xuding Zhu
This paper proves that if is a planar graph without 4-cycles and -cycles for some , then there exists a matching such that . This implies…
Strong fractional choice number of series-parallel graphs
Xuer Li, Xuding Zhu
The strong fractional choice number of a graph is the infimum of those real numbers such that is -choosable for every positive integer . The s…
The Alon-Tarsi number of subgraphs of a planar graph
Ringi Kim, Seog-Jin Kim, Xuding Zhu
This paper constructs a planar graph such that for any subgraph of with maximum degree , is not -choosable, and a planar graph such…
A general q-expansion formula based on matrix inversions and its applications
Jin Wang
In this paper, by use of matrix inversions, we establish a general -expansion formula of arbitrary formal power series with respect to the base $$\left\{z^n\frac{(az:q)_n…