1215 search results - page 109 / 243 » Combinatorics |
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COMBINATORICS
2007
15 years 3 months ago
2007
In this paper, we study the flexibility of embeddings of bouquets of circles on the projective plane and the Klein bottle. The numbers (of equivalence classes) of embeddings of b...
103
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COMBINATORICS
2007
15 years 3 months ago
2007
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
132
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COMBINATORICS
2007
15 years 3 months ago
2007
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
99
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COMBINATORICS
2007
15 years 3 months ago
2007
Recently, Storm [8] defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it. We define the Bartholdi zeta function of a hypergraph, a...
115
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COMBINATORICS
2007
15 years 3 months ago
2007
We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...