Abstract
A graph H is called e-realizable if there exists a graph G such that the neighbourhood of any edge of G (i.e. the subgraph of G induced by all vertices adjacent to at least one end vertex of this edge) is isomorphic to H. We show that certain starlike trees (graphs homeomorphic to stars) with short branches are not e-realizable.
Original language | English (US) |
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Pages (from-to) | 81-83 |
Number of pages | 3 |
Journal | Annals of Discrete Mathematics |
Volume | 51 |
Issue number | C |
DOIs | |
State | Published - Jan 1 1992 |
Externally published | Yes |