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- W2152275114 abstract "We present an order-theoretic approach to the study of countably infinite locally 2-arc-transitive bipartite graphs. Our approach is motivated by techniques developed by Warren and others during the study of cycle-free partial orders. We give several new families of previously unknown countably infinite locally-2-arc-transitive graphs, each family containing continuum many members. These examples are obtained by gluing together copies of incidence graphs of semilinear spaces, satisfying a certain symmetry property, in a tree-like way. In one case we show how the classification problem for that family relates to the problem of determining a certain family of highly arc-transitive digraphs. Numerous illustrative examples are given." @default.
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- W2152275114 date "2014-07-01" @default.
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- W2152275114 title "Countable locally2-arc-transitive bipartite graphs" @default.
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- W2152275114 doi "https://doi.org/10.1016/j.ejc.2014.01.001" @default.
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