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Graph‐like compacta: Characterizations and Eulerian loops
Author(s) -
Espinoza Benjamin,
Gartside Paul,
Pitz Max
Publication year - 2020
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.22558
Subject(s) - mathematics , eulerian path , metrization theorem , combinatorics , discrete mathematics , graph , linear subspace , pure mathematics , separable space , mathematical analysis , lagrangian
A compact graph‐like space is a triple ( X , V , E ) , where X is a compact, metrizable space, V ⊆ X is a closed zero‐dimensional subset, and E is an index set such that X ⧹ V ≅ E × ( 0 , 1 ) . New characterizations of compact graph‐like spaces are given, connecting them to certain classes of continua, and to standard subspaces of Freudenthal compactifications of locally finite graphs. These are applied to characterize Eulerian graph‐like compacta.