# k-dimensional

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## 2 matching pages

##### 1: 26.2 Basic Definitions

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►For an example see Figure 26.9.2.
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*k-dimensional lattice path*is a directed path composed of segments that connect vertices in ${\{0,1,2,\mathrm{\dots}\}}^{k}$ so that each segment increases one coordinate by exactly one unit. …##### 2: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions

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►It is also the number of $k$-dimensional lattice paths from $(0,0,\mathrm{\dots},0)$ to $({n}_{1},{n}_{2},\mathrm{\dots},{n}_{k})$.
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