Reply to the comment by Jacobs and Thorpe
Phillip M. Duxbury (MSU), Cristian F. Moukarzel (UFF, Brazil), Paul, L. Leath (Rutgers)

TL;DR
This paper addresses the debate on the nature of the rigidity percolation transition in central-force networks, clarifying the order of the transition through a detailed discussion.
Contribution
It provides a response to previous comments, offering insights into the order of the rigidity percolation transition in central-force networks.
Findings
The transition's order is clarified through theoretical discussion.
The paper refines understanding of rigidity percolation in network models.
It resolves previous ambiguities about the transition's nature.
Abstract
Reply to a comment on "Infinite-Cluster geometry in central-force networks", PRL 78 (1997), 1480. A discussion about the order of the rigidity percolation transition.
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