On a construction of critical graphs which are not sensitive (Q1064327)
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scientific article; zbMATH DE number 3918413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a construction of critical graphs which are not sensitive |
scientific article; zbMATH DE number 3918413 |
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On a construction of critical graphs which are not sensitive (English)
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1985
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Let G be a graph and L(G) be the closed-set lattice of G. In the paper it is shown that if a graph G has property \(L(G)\simeq L(G')\Rightarrow G\simeq G'\) then it holds L(G)\(\not\simeq L(G-e)\), for every edge e of G, and \(L(G)\not\simeq L(G+e)\), for every edge e of G, but there are examples that the reverse implication is not true.
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closed-set lattice of a graph
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sensitive graph
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critical graph
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