Global ETD Search
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Showing 1 to 3 of 3 for “"Graph Automorphism"”.
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Dynamics on networks
… consider two dynamical models whose underlying graph can be represented by a single network. We first consider the Kuramoto model, a canonical model of coupled phase oscillators. We obtain two results on its partial phase-locked state, where a subset of oscillators remain close in phase while …
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A general computational tool for structure synthesis
… concepts: (1) the structure is represented by a graph and further by the adjacency matrix; and (2) instead of only exploiting the eigenvalue of the adjacency matrix, both the eigenvalue and the eigenvector are exploited; specifically the components of the eigenvector have been found very useful …
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Tricyclic Steiner Triple Systems with 1-Rotational Subsystems.
… is said to be <em>tricyclic</em> if it admits an automorphism whose disjoint cyclic decomposition consists of three cycles. In this thesis we give necessary and sufficient conditions for the existence of a tricyclic <em>STS</em>(<em>v</em>) when one of the cycles is of length one. In this case, …