Abstract
We complete work of C. C. Wu, by showing that for contact processes on homogeneous trees with degree at least 3 the triangle condition is satisfied below the second critical point. In particular it holds at the first critical point and therefore at this critical point the contact process has mean-field critical exponents.
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Schonmann, R.H. The Triangle Condition for Contact Processes on Homogeneous Trees. Journal of Statistical Physics 90, 1429–1440 (1998). https://doi.org/10.1023/A:1023247932037
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DOI: https://doi.org/10.1023/A:1023247932037