Packings and Coverings of Various Complete Graphs with the 4-Cycle with a Pendant Edge

Table 1

(𝑚,𝑛) (mod 5)	𝐾𝑚,𝑛	Packing	Leave
(1,1)	𝐾6,6	[00,01,10,11;21],[00,51,10,41;31],[20,01,30,11;21],	(50,31)
		[20,41,30,51;31],[40,01,50,11;21],[40,41,50,51;31],
		[21,10,31,30;50]
(1,2)	𝐾6,2	[01,00,11,10;20],[11,50,01,40;30]	(20,11),(30,01)
(1,3)	𝐾6,3	[30,01,20,11;21],[10,01,00,11;21],[50,01,40,11;21]	(00,21),(20,21),(40,21)
(1,4)	𝐾6,4	[00,01,10,11;21],[31,20,21,30;10],	(20,01),(20,11),
		[21,40,11,50;10],[31,40,01,50;00]	(30,01),(30,11)
(2,2)	𝐾2,2	Ø	(00,01),(00,11),
			(10,01),(10,11)
(2,3)	𝐾3,2	[11,10,01,00;20]	(20,01)
(2,4)	𝐾4,2	[11,10,01,00;20]	(20,01),(30,01),(30,11)
(3,3)	𝐾3,3	[11,10,01,00;20]	(00,21),(10,21),
			(20,01),(20,21)
(3,4)	𝐾4,3	[00,01,10,11;21],[20,31,10,21;11]	(00,31),(20,01)
(4,4)	𝐾4,4	10,11,00,01;21,[30,11,20,01;21],[31,20,21,00;30]	(10,31)