Article
Keywords:
infinite graph; tree; edge rotation; equivalence relation; isomorphism class; distances; distance between graphs; issomorphism class graphs
Summary:
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.
References:
[1] Baláž V., Koča J., Kvasnička V., Sekanina M.:
A metric for graphs. Časop. pěst. mat. 111 (1986), 431-433.
MR 0871718
[2] Chartrand G., Saba F., Zou H.-B.:
Edge rotation and distances between graphs. Časop. pěst. mat. 110 (1985), 87-91.
MR 0791281
[3] Johnson M.:
An ordering of some metrics defined on the space of graphs. Czech. Math. J. 57 (1987), 75-85.
MR 0875130 |
Zbl 0641.05027
[4] Zelinka B.:
On a certain distance between isomorphism classes of graphs. Časop. pěst. mat. 100 (1975), 371-373.
MR 0416995 |
Zbl 0312.05121
[5] Zelinka B.:
A distance between isomorphism classes of trees. Czech. Math. J. 55 (1983), 126-130.
MR 0687425 |
Zbl 0523.05028