The reduced power graph of a group G,denoted by RP(G),is the graph whose vertex set is the set of all elements of G and two vertices u and u are adjacent in RP(G)if and only if(u)C(u)or(u)C(u).In this paper,we study t...The reduced power graph of a group G,denoted by RP(G),is the graph whose vertex set is the set of all elements of G and two vertices u and u are adjacent in RP(G)if and only if(u)C(u)or(u)C(u).In this paper,we study the adjacency spectrum of the reduced power graph of Z_(n),Z^(n)_(p2),Z_(p2) x Z_(p),dihedral group,quaternion group and semi-dihedral group.展开更多
The explicit finite element analysis method combined with the artificial transmitting boundary theory is performed to evaluate the adjacent terrain effects on ground motion,and the influence of the distance between ad...The explicit finite element analysis method combined with the artificial transmitting boundary theory is performed to evaluate the adjacent terrain effects on ground motion,and the influence of the distance between adjacent terrains on the topographical amplification effects on ground motion is studied. The results show that:( 1) Compared to the case of a single hill,the presence of adjacent hills has little effect on the shape of the spectral ratio curve,but has a significant effect on the value of spectral ratio,which is dependent on the locations of observation points.( 2) The presence of adjacent hills has a greater effect on high-frequency ground motion,and with the increase of the distance between adjacent hills,such an effect weakens gradually,and the effect of the composite topography combined with multiple hills on ground motion gradually approaches that of a single hill.展开更多
A signed graph is determined by its adjacency spectrum(resp.,Laplacian spectrum)if there is no other non-switching isomorphic signed graph having the same adjacency spectrum(resp.,Laplacian spectrum).In particular,a s...A signed graph is determined by its adjacency spectrum(resp.,Laplacian spectrum)if there is no other non-switching isomorphic signed graph having the same adjacency spectrum(resp.,Laplacian spectrum).In particular,a starlike tree can also be interpreted as a signed graph.Oboudi[On the eigenvalues and spectral radius of starlike trees,Aequationes Math.92(2018)683–694]characterized all starlike trees whose adjacency eigenvalues are all in the interval(−2,2),which are S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≥4.In this paper,our focus is the problem of spectral determination of them.We prove that S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≠8,10,11,13,16 are determined by their adjacency spectra,and characterize all signed graphs which are non-switching isomorphic and adjacency cospectral with S(1,1,n−3)for other cases.Further,we show that S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≠4 are determined by their Laplacian spectra,and we characterize all signed graphs which are non-switching isomorphic and Laplacian cospectral to S(1,1,1).展开更多
文摘The reduced power graph of a group G,denoted by RP(G),is the graph whose vertex set is the set of all elements of G and two vertices u and u are adjacent in RP(G)if and only if(u)C(u)or(u)C(u).In this paper,we study the adjacency spectrum of the reduced power graph of Z_(n),Z^(n)_(p2),Z_(p2) x Z_(p),dihedral group,quaternion group and semi-dihedral group.
基金sponsored by the China National Special Fund for Earthquake Scientific Research in Public Interest(Grant No.201408002)Earthquake Science and Technology Spark Plan of China Earthquake Administration(XH14061Y)
文摘The explicit finite element analysis method combined with the artificial transmitting boundary theory is performed to evaluate the adjacent terrain effects on ground motion,and the influence of the distance between adjacent terrains on the topographical amplification effects on ground motion is studied. The results show that:( 1) Compared to the case of a single hill,the presence of adjacent hills has little effect on the shape of the spectral ratio curve,but has a significant effect on the value of spectral ratio,which is dependent on the locations of observation points.( 2) The presence of adjacent hills has a greater effect on high-frequency ground motion,and with the increase of the distance between adjacent hills,such an effect weakens gradually,and the effect of the composite topography combined with multiple hills on ground motion gradually approaches that of a single hill.
基金Supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region(No.2024D01C41)NSFC(Nos.12361071 and 11901498)+1 种基金Tianshan Talent Training Program,China(No.2024TSYCCX0013)Basic Scientific Research in Universities of Xinjiang Uygur Autonomous Region,China(No.XJEDU2025P001).
文摘A signed graph is determined by its adjacency spectrum(resp.,Laplacian spectrum)if there is no other non-switching isomorphic signed graph having the same adjacency spectrum(resp.,Laplacian spectrum).In particular,a starlike tree can also be interpreted as a signed graph.Oboudi[On the eigenvalues and spectral radius of starlike trees,Aequationes Math.92(2018)683–694]characterized all starlike trees whose adjacency eigenvalues are all in the interval(−2,2),which are S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≥4.In this paper,our focus is the problem of spectral determination of them.We prove that S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≠8,10,11,13,16 are determined by their adjacency spectra,and characterize all signed graphs which are non-switching isomorphic and adjacency cospectral with S(1,1,n−3)for other cases.Further,we show that S(1,2,2),S(1,2,3),S(1,2,4)and S(1,1,n−3)for n≠4 are determined by their Laplacian spectra,and we characterize all signed graphs which are non-switching isomorphic and Laplacian cospectral to S(1,1,1).
