Matching complex of P_n × P_m is homotopy equivalent to a wedge of spheres for n≥2 and 3≤m≤5, with explicit sphere data for m=3.
Splittings of independence complexes and the powers of cycles
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On the matching complexes of categorical product of path graphs
Matching complex of P_n × P_m is homotopy equivalent to a wedge of spheres for n≥2 and 3≤m≤5, with explicit sphere data for m=3.