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- W2116009450 abstract "A well-covered graph is a graph in which every maximal independent set is a maximum independent set; Plummer introduced the concept in a 1970 paper. The notion of a 1-well-covered graph was introduced by Staples in her 1975 dissertation: a well-covered graph G is 1-well-covered if and only if G - v is also well covered for every point v in G. Except for K2 and C5, every 1-well-covered graph contains triangles or 4-cycles. We show that all planar 1-well-covered graphs of girth 4 belong to a specific infinite family, and we give a characterization of this family. © 1995 John Wiley & Sons, Inc." @default.
- W2116009450 created "2016-06-24" @default.
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- W2116009450 date "1995-01-01" @default.
- W2116009450 modified "2023-09-23" @default.
- W2116009450 title "A class of planar well-covered graphs with girth four" @default.
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- W2116009450 doi "https://doi.org/10.1002/jgt.3190190108" @default.
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