Results 21 to 30 of about 3,118,294 (254)
Dilation theory for rank two graph algebras. [PDF]
An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian +2 more
core +4 more sources
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators H α for ladder diagrams is constructed and investigated.
S. E. Derkachov +2 more
doaj +1 more source
A Localization Algorithm Based on Global Descriptor and Dynamic Range Search
The map-based localization method is considered an effective supplement to the localization under the GNSS-denied environment. However, since the map is constituted by the dispersed keyframes, it sometimes happens that the initial position of the ...
Yongzhe Chen +4 more
doaj +1 more source
Maximizing edge-ratio is NP-complete [PDF]
This is the post-print verison of the Article. The official published version can be accessed from the link below - Copyright @ 2011 ElsevierGiven a graph G and a bipartition of its vertices, the edge-ratio is the minimum for both classes so defined of ...
Noble, Steven D. +11 more
core +1 more source
Transferable equivariant graph neural networks for the Hamiltonians of molecules and solids
This work presents an E(3) equivariant graph neural network called HamGNN, which can fit the electronic Hamiltonian matrix of molecules and solids by a complete data-driven method.
Yang Zhong +4 more
doaj +1 more source
On a new complete invariant of acyclic graphs
This paper has been withdrawn by the author due to ...
openaire +3 more sources
Genus Distribution for a Graph [PDF]
In this paper we develop the technique of a distribution decomposition for a graph. A formula is given to determine genus distribution of a cubic graph.
Liangxia, Wan +2 more
core +1 more source
Coloring graphs as complete graph invariants
30 pages; final version, accepted for publication in Discrete ...
Shamil Asgarli +2 more
openaire +2 more sources
Method of graph vertices differentiation and solution of the isomorphism problem
Modelling the relations between the structure of the object and its properties is one of the current problems in the modern applied graph theory. The problem of identification and evaluation of structures similarity plays the important role in solving ...
Andrey Pogrebnoy, Vladimir Pogrebnoy
doaj +2 more sources
A Special Case of Completion Invariance for thec2Invariant of a Graph
AbstractThec2invariant is an arithmetic graph invariant defined by Schnetz. It is useful for understanding Feynman periods. Brown and Schnetz conjectured that thec2invariant has a particular symmetry known as completion invariance. This paper will prove completion invariance of thec2invariant in the case where we are over the field with 2 elements and ...
openaire +3 more sources

