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Graph neural network-based multi-label classification of breast cancer using multiparametric MRI and clinical features. [PDF]
Salehzehi S +7 more
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ISOMORPHISM THEOREM IN THE LOCAL CLASS FIELD THEORY
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Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Alaa Tawfik M, Newton R.
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Congruence modules in higher codimension and zeta lines in Galois cohomology. [PDF]
Iyengar SB +3 more
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Isomorphism Testing in Hookup Classes
SIAM Journal on Algebraic Discrete Methods, 1982Hookup classes are classes of graphs with a certain type of recursive definition, which can be viewed as a generalization of k-trees. We show that many hookup classes of graphs are isomorphism complete, and give polynomial isomorphism algorithms for the others. Other results in this paper include the development of a structural decomposition for hookup
Klawe, M. M. +2 more
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Isomorphism Classes of Graph Bundles
Canadian Journal of Mathematics, 1990AbstractRecently, M. Hofmeister [4] counted all nonisomorphic double coverings of a graph by using its Ζ2 cohomology groups, and J. Kwak and J. Lee [5] did the same work for some finite-fold coverings. In this paper, we give an algebraic characterization of isomorphic graph bundles, from which we get a formula to count all nonisomorphic graph-bundles ...
KWAK, JH, LEE, JE
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Combinatorial isomorphism between Fibonacci classes
Journal of Discrete Mathematical Sciences and Cryptography, 2008Abstract In 1985 Simion and Schmidt showed that the set S n (T 3) of length n permutations avoiding the set of patterns T 3={123, 132, 213} is counted by (the second order) Fibonacci numbers. They also presented a constructive bijection between the set F n–1 of length (n–1) binary strings with no two consecutive 1s and S n (T 3).
Asep Juarna, Vincent Vajnovszki
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Classifying Isomorphic Residue Classes
2001We report on a case study on combining proof planning with computer algebra systems. We construct proofs for basic algebraic properties of residue classes as well as for isomorphisms between residue classes using different proving techniques, which are implemented as strategies in a multi-strategy proof planner.
Andreas Meier +2 more
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Isomorphism Classes of Solenoidal Algebras I
Canadian Mathematical Bulletin, 1993AbstractEach g ∊ ℤ[x] defines a homeomorphism of a compact space We investigate the isomorphism classes of the C*-crossed product algebra Bg associated with the dynamical system An isomorphism invariant Eg of the algebra Bg is shown to determine the algebra Bg up to * or * anti-isomorphism if degree g ≤ 1 and 1 is not a root of g or if degree g = 2 ...
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