Spectral Properties of the Laplacian matrix of long kite graphs
نویسندگان
چکیده
9:25 Opening Address from Chair 9:30 Spectral mapping theorem and asymptotic behavior of quantum walks on infinite graphs Etsuo SEGAWA (Tohoku Univ., JAPAN) 10:10 Tea Break 10:20 Seidel matrices with precisely three distinct eigenvalues Gary GREAVES (Tohoku Univ., JAPAN) 11:00 Tea Break 11:10 On the characteristic of a multiple eigenvalue of an Hermitian matrix whose graph is a tree Kenji TOYONAGA (Kitakyushu National College of Tech., JAPAN) 11:50 Lunch 14:00 Spectral Properties of the Laplacian matrix of long kite graphs Sezer SORGUN (Nevsehir Univ., TURKEY) 14:40 Tea Break 14:50 A ratio bound for bipartite graphs Norihide TOKUSHIGE (Univ. of Ryukyus, JAPAN) 15:30 Tea Break 15:40 Combinatorial objects as finite algebraic varieties William J. MARTIN (Worcester Polytechnic Inst., USA) 16:30 Free Discussion 18:00 Banquet
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SIGNLESS LAPLACIAN SPECTRAL MOMENTS OF GRAPHS AND ORDERING SOME GRAPHS WITH RESPECT TO THEM
Let $G = (V, E)$ be a simple graph. Denote by $D(G)$ the diagonal matrix $diag(d_1,cdots,d_n)$, where $d_i$ is the degree of vertex $i$ and $A(G)$ the adjacency matrix of $G$. The signless Laplacianmatrix of $G$ is $Q(G) = D(G) + A(G)$ and the $k-$th signless Laplacian spectral moment of graph $G$ is defined as $T_k(G)=sum_{i=1}^{n}q_i^{k}$, $kgeqslant 0$, where $q_1$,$q_2$, $cdots$, $q_n$ ...
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