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| 1 | THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5显示文摘We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation of G is normal in the full automorphism group Ant(X) of X. In this paper, we give a classification of all nonnormal Cayley graphs of finite abelian groups with valency 5. | Young-Gheel Baik (Department of Applied Mathematics Pukyong National University Pusan 608-737, Korea) FENG Yanquan (Department of Mathematics, Northern Jiaotong University, Beijing 100044, China) Hyo-Seob Sim (Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea) | 2000 | Systems Science and Mathematical Sciences2000，13，4： | 17 |
| 2 | Rheb promotes brown fat thermogenesis by Notch-dependent activation of the PKA signaling pathway显示文摘Increasing brown and beige fat thermogenesis have an anti-obesity effect and thus great metabolic benefits.However,the molecular mechanisms regulating brown and beige fat thermogenesis remain to be further elucidated.We recently found that fat-specific knockout of Rheb promoted beige fat thermogenesis.In the current study,we show that Rheb has distinct effects on thermogenic gene expression in brown and beige fat.Fat-specific knockout of Rheb decreased protein kinase A(PKA)activity and thermogenic gene expression in brown adipose tissue of high-fat diet-fed mice.On the other hand,overexpression of Rheb activated PKA and increased uncoupling protein 1 expression in brown adipocytes.Mechanistically,Rheb overexpression in brown adipocytes increased Notch expression,leading to disassociation of the regulatory subunit from the catalytic subunit of PKA and subsequent PKA activation.Our study demonstrates that Rheb,by selectively modulating thermogenic gene expression in brown and beige adipose tissues,plays an important role in regulating energy homeostasis. | Wen Meng Xiuci Liang Ting Xiao Jing Wang Jie Wen Hairong Luo Jianhui Teng Yanquan Fei Qinghai Zhang Bilian Liu Fang Hu juli Bai Meilian Liu Zhiguang Zhou Feng Liu | 2019 | Journal of Molecular Cell Biology2019，11，9： | 2 |
| 3 | Pentavalent symmetric graphs of order 2p^3显示文摘A graph is symmetric or 1-regular if its automorphism group is transitive or regular on the arc set of the graph, respectively. We classify the connected pentavalent symmetric graphs of order 2p^3 for each prime p. All those symmetric graphs appear as normal Cayley graphs on some groups of order 2p^3 and their automorphism groups are determined. For p = 3, no connected pentavalent symmetric graphs of order 2p^3 exist. However, for p = 2 or 5, such symmetric graph exists uniquely in each case. For p 7, the connected pentavalent symmetric graphs of order 2p^3 are all regular covers of the dipole Dip5 with covering transposition groups of order p^3, and they consist of seven infinite families; six of them are 1-regular and exist if and only if 5 |(p- 1), while the other one is 1-transitive but not 1-regular and exists if and only if 5 |(p ± 1). In the seven infinite families, each graph is unique for a given order. | YANG DaWei Feng YanQuan | 2016 | Science China Mathematics2016，59，9： | 1 |
| 4 | On the normality of Cayley graph of abelian groups显示文摘 | Baik Young-Gheel Feng Yanquan Hyo-Seob Sim | 1998 | A slgebra Colloq1998，5，： | 1 |
| 5 | On the normality of Cayley graph of abelian groups显示文摘 | BAIK Young-Gheel FENG Yanquan SIM Hyo-Seob XU Mingyao | 1998 | Slgebra Colloq1998，5，： | 1 |
| 6 | Cubic semisymmetric graphs of order 8p^3显示文摘A regular edge-transitive graph is said to be semisymmetric if it is not vertex-transitive.By Folkman [J.Combin.Theory 3(1967),215-232],there is no semisymmetric graph of order 2p or 2p 2 for a prime p,and by Malni et al.[Discrete Math.274(2004),187-198],there exists a unique cubic semisymmetric graph of order 2p 3,the so called Gray graph of order 54.In this paper,it is shown that there is no connected cubic semisymmetric graph of order 4p 3 and that there exists a unique cubic semisymmetric graph of order 8p 3,which is a Z 2 × Z 2-covering of the Gray graph. | HUA XiaoHui FENG YanQuan | 2011 | Science China Mathematics2011，54，9： | 1 |
| 7 | Conditional Diagnosability of Alternating Group Graphs显示文摘 | Hao Rongxia Feng Yanquan Zhou Jinxin | 2013 | IEEE Trans Computers2013，62，4： | 1 |
| 8 | Enumerating reflexible 2-cell embeddings of connected graphs显示文摘Two 2-cell embeddings:X → S and j:X → S of a connected graph X into a closed orientable surface S are congruent if there are an orientation-preserving surface homeomorphism h on S and a graph automorphism γ of X such that h = γj.A 2-cell embedding:X → S of a graph X into a closed orientable surface S is described combinatorially by a pair(X;ρ) called a map,where ρ is a product of disjoint cycle permutations each of which is the permutation of the darts of X initiated at the same vertex following the orientation of S.The mirror image of a map(X;ρ) is the map(X;ρ 1),and one of the corresponding embeddings is called the mirror image of the other.A 2-cell embedding of X is reflexible if it is congruent to its mirror image.Mull et al.[Proc Amer Math Soc,1988,103:321-330] developed an approach for enumerating the congruence classes of 2-cell embeddings of graphs into closed orientable surfaces.In this paper we introduce a method for enumerating the congruence classes of reflexible 2-cell embeddings of graphs into closed orientable surfaces,and apply it to the complete graphs,the bouquets of circles,the dipoles and the wheel graphs to count their congruence classes of reflexible or nonreflexible(called chiral) embeddings. | FENG YanQuan KWAK Jin Ho ZHOU JinXin | 2013 | Science China Mathematics2013，56，5： | 1 |
| 9 | Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets显示文摘 | | 2005 | Journal of Combinatorial Theory Series B2005，96，1： | 1 |
| 10 | Cubic one-regular graphs of order twice a square-free integer显示文摘A graph is one-regular if its automorphism group acts regularly on the set of its arcs.Let n be a square-free integer.In this paper,we show that a cubic one-regular graph of order 2n exists if and only if n=3tp1p2…ps≥13,where t≤1,s≥1 and pi’s are distinct primes such that 3|(Pi—1). For such an integer n,there are 2s-1 non-isomorphic cubic one-regular graphs of order 2n,which are all Cayley graphs on the dihedral group of order 2n.As a result,no cubic one-regular graphs of order 4 times an odd square-free integer exist. | ZHOU JinXin FENG YanQuan | 2008 | Science China Mathematics2008，51，6： | 0 |
| 11 | Heptavalent Symmetric Graphs with Certain Conditions显示文摘A graph Γ is said to be symmetric if its automorphism group Aut(Γ)acts transitively on the arc set of Γ.We show that if Γ is a finite connected heptavalent symmetric graph with solvable stabilizer admitting a vertex-transitive non-abelian simple group G of automorphisms,then either G is normal in Aut(Γ),or Aut(Γ)contains a non-abelian simple normal subgroup T such that G≤T and(G,T)is explicitly given as one of 11 possible exceptional pairs of non-abelian simple groups.If G is arc-transitive,then G is always normal in Aut(Γ),and if G is regular on the vertices of Γ,then the number of possible exceptional pairs(G,T)is reduced to 5. | Jiali Du Yanquan Feng Yuqin Liu Genghua Fan | 2021 | Algebra Colloquium2021，28，2： | 0 |
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