Path-Counting Formulas for Generalized Kinship Coefficients and Condensed Identity Coefficients

Table 3

A summary of all cases for ⟨(𝑃_𝐴𝑎,𝑃_𝐴𝑏),(𝑃_𝐴𝑐,𝑃_𝐴𝑑)⟩.

⟨𝑃𝐴𝑎,𝑃𝐴𝑏,𝑃𝐴𝑐,𝑃𝐴𝑑⟩	⟨(𝑃𝐴𝑎,𝑃𝐴𝑏),(𝑃𝐴𝑐,𝑃𝐴𝑑)⟩
Zero root 2-overlap and; zero root 3-overlap	Zero root homo-overlap and zero root heter-overlap
One root 2-overlap path	One root homo-overlap and zero root heter-overlap
	Zero root homo-overlap and one root heter-overlap
Two root 2-overlap paths	Two root homo-overlaps and zero root heter-overlap
	Zero root homo-overlap and two root heter-overlaps
One root 3-overlap path	One root homo-overlap and two root heter-overlaps, and ℎ=𝑟1=𝑟2
One root 2-overlap and one root 3-overlap	One root homo-overlap and two root heter-overlaps, and 𝑟1=𝑟2≠ℎ
	One root homo-overlap and two root heter-overlaps, and ℎ=𝑟1≠𝑟2