【摘 要】
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In last two decades,the spectral graph theory has become one of the most active branches in the graph theory duo to its various applications in many discipl
【出 处】
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International Conference on the spectral theory of the tenso
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In last two decades,the spectral graph theory has become one of the most active branches in the graph theory duo to its various applications in many disciplines.In fact,it is the branch of mathematics that studies graphs by using algebraic properties of associated matrices,such as the adjacency matrix or Laplace matrix.As graphs are related to matrices,hypergraphs are in a natural way related to tensors which could reveal more higher order structures than matrices.In this talk,we generalize the signless Laplacian matrices for graphs to the signless Laplacian tensors for even uniform hypergraphs and set some fundamental properties for the spectral hypergraph theory based upon the signless Laplacian tensors.Especially,the smallest and the largest Z-eigenvalues of the signless Laplacian tensor for an even uniform hypergraph are studied and their connections with hypergraph bipartition,maximum degree and edge cut are discussed.
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