Let G be a simple graph and α be an automorphism of G. A spanning tree T of G is said to be α-invariant if α is also an automorphism of T. We give a necessary and sufficient condition for a connected graph G to have an α-invariant spanning tree.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Akio SAKAMOTO, "On the Existence of an Automorphism-Invariant Spanning Tree" in IEICE TRANSACTIONS on transactions,
vol. E70-E, no. 2, pp. 93-95, February 1987, doi: .
Abstract: Let G be a simple graph and α be an automorphism of G. A spanning tree T of G is said to be α-invariant if α is also an automorphism of T. We give a necessary and sufficient condition for a connected graph G to have an α-invariant spanning tree.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e70-e_2_93/_p
Copy
@ARTICLE{e70-e_2_93,
author={Akio SAKAMOTO, },
journal={IEICE TRANSACTIONS on transactions},
title={On the Existence of an Automorphism-Invariant Spanning Tree},
year={1987},
volume={E70-E},
number={2},
pages={93-95},
abstract={Let G be a simple graph and α be an automorphism of G. A spanning tree T of G is said to be α-invariant if α is also an automorphism of T. We give a necessary and sufficient condition for a connected graph G to have an α-invariant spanning tree.},
keywords={},
doi={},
ISSN={},
month={February},}
Copy
TY - JOUR
TI - On the Existence of an Automorphism-Invariant Spanning Tree
T2 - IEICE TRANSACTIONS on transactions
SP - 93
EP - 95
AU - Akio SAKAMOTO
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 2
JA - IEICE TRANSACTIONS on transactions
Y1 - February 1987
AB - Let G be a simple graph and α be an automorphism of G. A spanning tree T of G is said to be α-invariant if α is also an automorphism of T. We give a necessary and sufficient condition for a connected graph G to have an α-invariant spanning tree.
ER -