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Ancestor Approach to Number of Spanning Trees of Wheel Graph W n in Terms of Number of Spanning Trees of Fan Graph F n

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An exclusive expression τ(W n ) = 3τ(F n ) –2τ(F n–1) –2 for determining number of spanning trees of wheel graph Wn and a recurrence relation τ(W n ) = 3τ(W n–1)–τ(W n–2)+2 are derived by expressing τ(W n ) into disjoint sets and expressing cardinality of each set in terms of τ(F n ).

Keywords: FAN; SPANNING TREE; WHEEL

Document Type: Research Article

Publication date: 01 February 2016

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