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Applied Mathematics and Computation Computing the Tutte polynomial of Archimedean tilings
We describe an algorithm to compute the Tutte polynomial of large fragments of Archimedean tilings by squares, triangles, hexagons and combinations thereof. Our algorithm improves a well known methodExpand
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On terminal delta-wye reducibility of planar graphs
TLDR
We prove terminal Δ-Y reducibility of planar graphs with at most three terminals. Expand
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The Inscribed Square Conjecture in the Digital Plane
The Inscribed Square Conjecture has been open since 1911. It states that any plane Jordan curve J contains four points on a non-degenerate square. In this article we prove that the conjecture holdsExpand
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Topological graph theory on vox-solids
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Two discrete versions of the Inscribed Square Conjecture and some related problems
The Inscribed Square Conjecture has been open since 1911. It states that any plane Jordan curve J contains four points on a non-degenerate square. In this article two different discrete versions ofExpand
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An evolutionary algorithm coupled with the Hooke-Jeeves algorithm for tuning a chess evaluation function
TLDR
In a previous paper presented at CEC'2011, we reported the implementation of a chess engine based on evo- lutionary programming with a selection mechanism that relied on grandmaster's chess games. Expand
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Triangulations and a generalization of Bose's method
TLDR
A nontrivial extension to Bose's method for the construction of Steiner triple systems, generalizing the traditional use of commutative and idempotent quasigroups to employ a new algebraic structure called a 3-tri algebra. Expand
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Hamiltonian Representation of Vox-solids
WE PRESENT HERE AN EXTENDED ABSTRACT OF THE WORK (SAGOLS, 1997). OUR OBJECTIVE IS THE STUDY OF VOZ-SOLIDS AND THEIR APPLICATIONS. A VOZ-SOLID IS A SOLID DIGITIZED INTO UNITARY CUBES WHOSE BOUNDARY ISExpand
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Dominated error correcting codes with distance two
We study the hamiltonicity of certain graphs obtained from the hypercube as a means of producing a binary code of distance two and length n, whose codewords are ordered so that for each twoExpand
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An evolutionary algorithm for tuning a chess evaluation function
TLDR
This paper proposes a method for tuning the weights of the evaluation function of a chess program whose search engine is based on evolutionary programming. Expand
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