Jun-Yi Guo

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20162020

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Showing math.COShow all

3 papers · 1 filter

math.CO2020

Beyond Hamiltonicity of Prime Difference Graphs

Hong-Bin Chen, Hung-Lin Fu, Jun-Yi Guo

A graph is Hamiltonian if it contains a cycle which visits every vertex of the graph exactly once. In this paper, we consider the problem of Hamiltonicity of a graph $G_{n}$ , which w…

math.CO2018

From a Consequence of Bertrand's Postulate to Hamilton Cycles

Hong-Bin Chen, Hung-Lin Fu, Jun-Yi Guo

A consequence of Bertrand's postulate, proved by L. Greenfield and S. Greenfield in 1998, assures that the set of integers ${1, 2, \dots, 2 n}$ can be partitioned into pairs so tha…

math.CO2016

Families of Subsets Without a Given Poset in the Interval Chains

Jun-Yi Guo, Fei-Huang Chang, Hong-Bin Chen +1

For two posets $P$ and $Q$ , we say $Q$ is $P$ -free if there does not exist any order-preserving injection from $P$ to $Q$ . The speical case for $Q$ being the Boolean lattice $B_{n}$ …