2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130250A (3,4)-biregular bigraph G is a bipartite graph where all vertices in one part have degree 3 and all vertices in the other part have degree 4. A path factor of G is a spanning subgraph whose components are nontrivial paths. We prove that a simple (3,4)-biregular bigraph always has a path factor such that the endpoints of each path have degree three. Moreover we suggest a polynomial algorithm for the construction of such a path factor.7 pagesCombinatorics05C15, 05C70On path factors of (3,4)-biregular bigraphstext