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Homomorphism Counts for Graph Neural Networks: All About That Basis
International Conference on Machine LearningA large body of work has investigated the properties of graph neural networks and identified several limitations, particularly pertaining to their expressive power.
Emily Jin +3 more
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Approximate Homomorphisms II: Group Homomorphisms
Combinatorica, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De-Gang Chen +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De-Gang Chen +3 more
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Homomorphism Thresholds for Odd Cycles
Comb., 2017The interplay of minimum degree conditions and structural properties of large graphs with forbidden subgraphs is a central topic in extremal graph theory.
Oliver Ebsen, M. Schacht
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The Annals of Mathematics, 1941
=, + G2 + * *= En Gp, I H = H1+ H2 + * = ZHP Gp Gq = Ox Hp Hq = O (p 5 iq) where the notation is not to be taken to mean that the sets are denumerable; the elements of a set Gp will be denoted by gp, gp, .. . . Then G is said to be homomorphic to H, G H, if (1) gpgq =gr D HpHq _ Hr.
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=, + G2 + * *= En Gp, I H = H1+ H2 + * = ZHP Gp Gq = Ox Hp Hq = O (p 5 iq) where the notation is not to be taken to mean that the sets are denumerable; the elements of a set Gp will be denoted by gp, gp, .. . . Then G is said to be homomorphic to H, G H, if (1) gpgq =gr D HpHq _ Hr.
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On the homomorphisms of sequences
Mathematical Proceedings of the Cambridge Philosophical Society, 1952The algebraic classification problem with which I shall be concerned in this paper is suggested by the algebraic theory of homomorphisms of free crossed modules whose groups of operators are free groups. This theory arises in the study of the homotopy theory of two-dimensional C.W. complexes*.
W. H. Cockcroft, D. Rees
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Mathematical Proceedings of the Royal Irish Academy, 2014
In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily continuous) homomorphism between complex unital Banach algebras will be ...
Enrico Boasso
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In this article poles, isolated spectral points, group, Drazin and Koliha-Drazin invertible elements in the context of quotient Banach algebras or in ranges of (not necessarily continuous) homomorphism between complex unital Banach algebras will be ...
Enrico Boasso
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When a lattice homomorphism is a Riesz homomorphism
Mathematische Nachrichten, 2006AbstractLet E and F be uniformly complete vector lattices with disjoint complete systems (ui )i ∈I and (vi )i ∈I of projection elements of E and F respectively. In this paper we prove that if T is a lattice homomorphism from E into F with T (λui ) = λvi for each λ ∈ ℝ and i ∈ I then T is linear.
Wickstead, Anthony, Ercan, Z.
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On Lie ideals with derivations as homomorphisms and anti-homomorphisms
Acta Mathematica Hungarica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nadeem ur Rehman, A. Asma, A. Shakir
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Graph Homomorphism Features: Why Not Sample?
PKDD/ECML Workshops, 2021P. Beaujean, F. Sikora, F. Yger
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