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Table 3 The neighbor table and corresponding criterion

From: A virtual grid-based real-time data collection algorithm for industrial wireless sensor networks

Rows of neighbor table Definition Criterion
LU Head node in the upper left corner \(\left (M_{r}^{\prime } = M_{r} + 1 \right) \& \left (M_{c}^{\prime } = M_{c} - 1 \right) \)
RU Head node in the upper right corner \(\left (M_{r}^{\prime } = M_{r} + 1 \right) \& \left (M_{c}^{\prime } = M_{c} + 1 \right) \)
LD Head node in the lower left corner \(\left (M_{r}^{\prime } = M_{r} - 1 \right) \& \left (M_{c}^{\prime } = M_{c} - 1 \right) \)
RD Head node in the lower right corner \(\left (M_{r}^{\prime } = M_{r} - 1 \right) \& \left (M_{c}^{\prime } = M_{c} + 1 \right) \)
UG Head node in the grid above \(\left (M_{r}^{\prime } = M_{r} + 1 \right) \& \left (M_{c}^{\prime } = M_{c}\right) \)
DG Head node in the grid below \(\left (M_{r}^{\prime } = M_{r} - 1 \right) \& \left (M_{c}^{\prime } = M_{c} \right) \)
LG Head node in the left grid \(\left (M_{r}^{\prime } = M_{r} \right) \& \left (M_{c}^{\prime } = M_{c} - 1 \right) \)
RG Head node in the right grid \(\left (M_{r}^{\prime } = M_{r} \right) \& \left (M_{c}^{\prime } = M_{c} + 1 \right) \)