TL;DR
This paper presents a construction method for free multiple trees with strongly transitive automorphism groups, demonstrating how partial codistance functions on finite trees can be extended to form such structures.
Contribution
It introduces an amalgamation construction for free multiple trees with strongly transitive automorphism groups, enabling extension of partial codistance functions.
Findings
Construction of free multiple trees with strongly transitive automorphism groups
Extension of partial codistance functions to full multiple trees
Demonstration of the existence of such structures
Abstract
We give an amalgamation construction of free multiple trees with a strongly transitive automorphism group. The construction shows that any partial codistance function on a tuple of finite trees can be extended to yield multiple trees.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Operator Algebra Research · Limits and Structures in Graph Theory