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Published in 2022 at "International Journal of Intelligent Systems"
DOI: 10.1002/int.22797
Abstract: The graph model is verified to be an effective network model, where the edges represent the direct channels between two sites. In practical applications, the sites and channels of the network have uncertain characteristics, and…
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Keywords:
topology;
edge connectivity;
fuzzy;
bipolar fuzzy ... See more keywords
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Published in 2023 at "Journal of Interconnection Networks"
DOI: 10.1142/s0219265923500020
Abstract: In this note, we prove the equivalence of edge connectivity, essential edge connectivity and cyclic edge connectivity in an [Formula: see text]-regular graph, where [Formula: see text].
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Keywords:
connectivity;
edge connectivity;
connectivity regular;
regular graphs ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11050219
Abstract: Let H be a class of given graphs. A graph G is said to be H-free if G contains no induced copies of H for any H∈H. In this article, we characterize all connected subgraph…
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Keywords:
minimum degree;
connectivity connected;
edge connectivity;
characterizing forbidden ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12050504
Abstract: A 3-restricted edge cut is an edge cut of a connected graph that separates this graph into components, each having an order of at least 3. The minimum size of all 3-restricted edge cuts of…
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Keywords:
restricted edge;
product graphs;
edge connectivity;
graphs ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14020304
Abstract: The reliability measure of networks is of significant importance to the design and maintenance of networks. Based on connectivity, many refined quantitative indicators for the reliability of network systems have been introduced. The super vertex…
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Keywords:
connectivity;
edge connectivity;
super vertex;
varietal hypercube ... See more keywords