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In wireless networks, mutual interference prevents wireless devices from correctly receiving packages from others and becomes one of the challenges in the design of protocols for wireless networks. Spatial-reuse time division multiple access (STDMA) has been used to cope with this problem. In this scheme, links are assigned to several time slots and in each slot all the links can transmit simultaneously. In this paper, we propose a greedy link scheduling algorithm to find a short schedule for a problem instance in the physical interference model. Our scheduling algorithm is inspired by the k-MAX-CUT algorithm. Experimental results show that our greedy algorithm can give a better schedule compared with the greedy algorithm, with an improvement about 20%-30% when the density of links is high.