4 citations · 14 across the 9 of their papers we have counts for
9 papers
On the Weisfeiler-Leman dimension of permutation graphs
Jin Guo, Alexander L. Gavrilyuk, Ilia Ponomarenko
It is proved that the Weisfeiler-Leman dimension of the class of permutation graphs is at most 18. Previously it was only known that this dimension is finite (Grußien, 2017).
On Cayley representations of central Cayley graphs over almost simple groups
Jin Guo, Wenbin Guo, Grigory Ryabov +1
A Cayley graph over a group is said to be central if its connection set is a normal subset of . We prove that every central Cayley graph over a simple group has at most…
The Cohen-Macaulay Property of -ideals
A-Ming Liu, Jin Guo, Tongsuo Wu
For positive integers , let where . For a pure -simplicial complex such that an…
Edgewise strongly shellable clutters
Jin Guo, Yi-Huang Shen, Tongsuo Wu
When is a chordal clutter in the sense of Woodroofe or Emtander, we show that the complement clutter is edgewise strongly shellable. When is indeed a fi…
Strong shellability of simplicial complexes
Jin Guo, Yi-Huang Shen, Tongsuo Wu
Imposing a strong condition on the linear order of shellable complexes, we introduce strong shellability. Basic properties, including the existence of dimension-decreasing strong s…
Monomial ideals under ideal operations
Jin Guo, Tongsuo Wu
In this paper, we show for a monomial ideal of that the integral closure $\ol{I}$ is a monomial ideal of Borel type (Borel-fixed, strongly stable, lexse…
On the -Ideals
Jin Guo, Tongsuo Wu
A square-free monomial ideal is called an {\it -ideal}, if both and have the same -vector, where ($δ_{\math…
Perfect Sets and -Ideals
Jin Guo, Tongsuo Wu, Qiong Liu
A square-free monomial ideal is called an {\it -ideal}, if both and have the same -vector, where ($δ_{\math…
On monomial ideals whose Lyubeznik resolution is minimal
Jin Guo, Tongsuo Wu, Houyi Yu
For a monomial ideal , let be its minimal set of monomial generators. If there is a total order on such that the corresponding Lyubeznik resolution of is a min…