3 citations · 3 across the 9 of their papers we have counts for
9 papers
On finite groups whose coprime graph is a divisor graph
Xuanlong Ma, Liangliang Zhai, Nan Gao +1
In this paper, we first characterize which generalized lexicographic products are divisor graphs. As applications, we show that power graphs, reduced power graphs and order graphs…
On a conjecture about pattern avoidance of cycle permutations
Junyao Pan
Let be a cycle permutation that can be expressed as one-line and a cycle form . Archer et al. introduced the notion of p…
On the permutations that strongly avoid the pattern 312 or 231
Junyao Pan, Pengfei Guo
In 2019, Bóna and Smith introduced the notion of \emph{strong pattern avoidance}, that is, a permutation and its square both avoid a given pattern. In this paper, we enumerate the…
A Note On The Cross-Sperner Families
Junyao Pan
Let be a pair of families of , where . If and hold for all and $B\in\mathcal…
The full automorphism groups of general position graphs
Junyao Pan
Let be a non-empty finite set. A flag of is a set of non-empty proper subsets of such that or for all . The set $\{|X|:X\in…
Sign-Balanced Pattern-Avoiding Permutation Classes
Junyao Pan, Pengfei Guo
A set of permutations is called sign-balanced if the set contains the same number of even permutations as odd permutations. Let be the set of permutati…
Two Identities
Junyao Pan
In the process of studying a conjecture of Holly M. Green and Martin W. Liebeck, we obtain two interesting identities by elementary methods, one is a combinatorial identity, and th…
The generating pairs of the 2-transitive groups
Junyao Pan
Given a finite group . The generating pair of , that is, and such that . In this paper, we introduce the definition of FF-subgrou…
On simultaneous conjugation of permutations
Junyao Pan
In this paper we give an affirmative answer to a conjecture proposed by Danny Neftin, that is, if the commutator of two permutations has at least n-4 fixed points where two permuta…