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1: 26.2 Basic Definitions
For an example see Figure 26.9.2. A k-dimensional lattice path is a directed path composed of segments that connect vertices in { 0 , 1 , 2 , } k so that each segment increases one coordinate by exactly one unit. …
2: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
It is also the number of k -dimensional lattice paths from ( 0 , 0 , , 0 ) to ( n 1 , n 2 , , n k ) . …