Abstract
The concept of a line graph is generalized to that of a path graph. The path graph Pk(G) of a graph G is obtained by representing the paths Pk in G by vertices and joining two vertices whenever the corresponding paths Pk in G form a path Pk+1 or a cycle Ck. P3-graphs are characterized and investigated on isomorphism and traversability. Trees and unicyclic graphs with hamiltonian P3-graphs are characterized.
Original language | English |
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Pages (from-to) | 427-444 |
Number of pages | 18 |
Journal | Journal of graph theory |
Volume | 13 |
Issue number | 4 |
DOIs | |
Publication status | Published - Sept 1989 |
Keywords
- IR-70879