Displaying similar documents to “Counting two-graphs related to trees.”

Tree-Like Partial Hamming Graphs

Tanja Gologranc (2014)

Discussiones Mathematicae Graph Theory

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Tree-like partial cubes were introduced in [B. Brešar, W. Imrich, S. Klavžar, Tree-like isometric subgraphs of hypercubes, Discuss. Math. Graph Theory, 23 (2003), 227-240] as a generalization of median graphs. We present some incorrectnesses from that article. In particular we point to a gap in the proof of the theorem about the dismantlability of the cube graph of a tree-like partial cube and give a new proof of that result, which holds also for a bigger class of graphs, so called tree-like...

Equivalences between isomorphism classes on infinite graphs

Bohdan Zelinka (1992)

Mathematica Bohemica

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The paper studies some equivalence relations between isomorphism classes of countable graphs which correspond in a certain sense to various distances between isomorphism classes of finite graphs.