Volume 2, Issue 2

 

ارسال های اخیر

  • Seidel Signless Laplacian Energy of Graphs 

    Ramane, Harishchandra؛ Gutman, Ivan؛ Patil, Jayashri؛ Jummannaver, Raju (University of Kashan, 2017-12-01)
    Let $S(G)$ be the Seidel matrix of a graph $G$ of order $n$ and let $D_S(G)=diag(n-1-2d_1, n-1-2d_2,ldots, n-1-2d_n)$ be the diagonal matrix with $d_i$ denoting the degree of a vertex $v_i$ in $G$. The Seidel Laplacian ...

  • Eigenvalues of the Cayley Graph of Some Groups with respect to a Normal Subset 

    Jalali-Rad, Maryam (University of Kashan, 2017-12-01)
    ‎‎Set X = { M11‎, ‎M12‎, ‎M22‎, ‎M23‎, ‎M24‎, ‎Zn‎, ‎T4n‎, ‎SD8n‎, ‎Sz(q)‎, ‎G2(q)‎, ‎V8n}‎, where M11‎, M12‎, M22‎, ‎M23‎, ‎M24 are Mathieu groups and Zn‎, T4n‎, SD8n‎, ‎Sz(q)‎, G2(q) and V8n denote the cyclic‎, ‎dicyclic‎, ...

  • Laplacian Sum-Eccentricity Energy of a Graph 

    Sharada, B.؛ Sowaity, Mohammad Issa؛ Gutman, Ivan (University of Kashan, 2017-12-01)
    We introduce the Laplacian sum-eccentricity matrix LS_e} of a graph G, and its Laplacian sum-eccentricity energy LS_eE=sum_{i=1}^n |eta_i|, where eta_i=zeta_i-frac{2m}{n} and where zeta_1,zeta_2,ldots,zeta_n are the ...

  • More Equienergetic Signed Graphs 

    Ramane, Harishchandra؛ Gundloor, Mahadevappa (University of Kashan, 2017-12-01)
    The energy of signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two signed graphs are said to be equienergetic if they have same energy. In the literature the construction of ...

  • On Eccentricity Version of Laplacian Energy of a Graph 

    De, Nilanjan (University of Kashan, 2017-12-01)
    The energy of a graph G is equal to the sum of absolute values of the eigenvalues of the adjacency matrix of G, whereas the Laplacian energy of a graph G is equal to the sum of the absolute value of the difference between ...

  • Survey of Graph Energies 

    Gutman, Ivan؛ Furtula, Boris (University of Kashan, 2017-12-01)
    Let graph energy is a graph--spectrum--based quantity‎, ‎introduced in the 1970s‎. ‎After a latent period of 20--30 years‎, ‎it became a popular topic of research both‎ ‎in mathematical chemistry and in ``pure'' spectral ...

  • The Signless Laplacian Estrada Index of Unicyclic Graphs 

    Ellahi, Hamid Reza؛ Nasiri, Ramin؛ Fath-Tabar, G.؛ Gholami, Ahmad (University of Kashan, 2017-12-01)
    ‎For a simple graph $G$‎, ‎the signless Laplacian Estrada index is defined as $SLEE(G)=sum^{n}_{i=1}e^{q^{}_i}$‎, ‎where $q^{}_1‎, ‎q^{}_2‎, ‎dots‎, ‎q^{}_n$ are the eigenvalues of the signless Laplacian matrix of $G$‎. ...

  • On Relation between the Kirchhoff Index and Laplacian-Energy-Like Invariant of Graphs 

    Milovanovic, Emina؛ Milovanovic, Igor؛ Matejic, Marjan (University of Kashan, 2017-12-01)
    Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ1 ≥ μ2 ≥...≥μn-1 >μn=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as ...