In this paper A polyomino (graph) is defined to be a finite 2-connected graph such that each interior face is surrounded by a regular square of side.
Oct 15, 2005 · H. Sachs. Counting perfect matchings in lattice graphs. Fuji Zhang et al. Perfect matchings in hexagonal systems. Graphs and Comb. (1985).
In this paper we present practical algorithmic optimizations addressing two problems. The first one is concerned with computing a maximal matching in an induced ...
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A simple algorithm is developed for calculating the numbers m(P) and m(P, e) of all perfect matchings of P and of those perfect matchings of P which contain the ...
Missing: Small | Show results with:Small
In this paper necessary and sufficient conditions are given for a generalized polyomino graph to have a perfect matching and to be elementary, respectively.
In the first part of this paper it is shown how to use ear decomposition techniques in proving existence and establishing lower bounds to the number of ...
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Dec 23, 2020 · Abstract. The forcing number of a perfect matching M in a graph G is the smallest number of edges inside M that can not be contained in ...
A polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge. It is a polyform whose cells are squares.
Missing: Perfect | Show results with:Perfect
In the first part of this paper we establish sharp lower bounds on the number of perfect matchings in benzenoid graphs and polyominoes.
For a polyomino graph H , we show that for every perfect matching M of H with the maximum or second maximum forcing number, f ( H , M ) is equal to the maximum ...