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Distributed Prescribed-Time Interval Bipartite Consensus of Multi-Agent Systems on Directed Graphs: Theory and Experiment

IEEE Transactions on Network Science and Engineering, 2021
This work deals with the analysis and protocol design problems of the prescribed-time interval bipartite consensus of multi-agent systems on signed and directed graphs. A new distributed protocol with hybrid constant and time-varying feedbacks of local signed error is proposed, whose consensus time period is independent of the specific topology among ...
Xin Gong   +4 more
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A Stochastic Theory of Community Food Webs. V. Intervality and Triangulation in the Trophic-Niche Overlap Graph

The American Naturalist, 1990
We report new empirical and theoretical information about the dimension of trophic-niche space and the structure of food webs, as measured by the frequency of intervality and triangulation of overlap graphs and resource graphs in community food webs.
Joel E. Cohen, Zbigniew J. Palka
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Similarity Analysis of Time Interval Data Sets—A Graph Theory Approach

2018
Comparison of entities, i.e., the measurement of their similarity, is a frequent, but challenging task in computer science. It requires a precise and quantifiable definition of similarity itself. Are two texts equal, if they overlap in a majority of their composing words? Does a pair of pictures resemble the same content?
Marc Haßler   +2 more
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Interval Preservation in Group- and Graph-Theoretical Music Theories: A Comparative Study

2009
Interval preservation—wherein intervals remain unchanged among varying musical objects—is among the most basic means of manifesting coherence in musical structures. Music theorists since (1960) seminal publication of “Twelve-Tone Invariants as Compositional Determinants” have examined and generalized situations in which interval preservation obtains ...
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