-Representability
Representability in supergeometry
... We are now ready to state our representability criterion, which is essen- tially a rewriting of the work by Grothendieck, in our context. Our proof generalizes the classical treatment in [GW10] (Theorem 8.9) and ...
17
Word-representability of triangulations of grid-covered cylinder graphs
... Most relevant to our paper are [1, 2, 5], where triangulations and subdivi- sions of certain graphs are studied with respect to word-representability. In particular, Akrobotu, Kitaev and Mas´ arov´ a [1] proved ...
19
Density-functional theory and the v-representability problem for model strongly correlated electron-systems
... Inspired by earlier work on the band-gap problem in insulators, we reexamine the treatment of strongly correlated Hubbard-type models within density-functional theory. In contrast to previous studies, the density is ...
11
Functional N Representability in 2 Matrix, 1 Matrix, and Density Functional Theories
... n of density func- asic assertion con- mmetrized product of strongly orthogonal geminal theory if the expansion of geminals is limited to two- dimensional subspaces. This result is remarkable in the sense that for the ...
10
Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference
... For many purposes, the existence of a representation ( ) u v , with u and v both upper semicontinuous is satis- factory. In particular, if such a representation exists and the topology τ is compact, then there exist ...
7
Excluded Minority of P8 for GF(4) Representability
... In this section, we define minors which are important to representability. For the definition of minor, we have to define contraction which is the dual of the operation of deletion. We can see that contraction for ...
18
Representability is not decidable for finite relation algebras
... It is interesting to consider alternatives to this approach. For example, it has been known for some time that the representable relation algebras cannot be de- fined by a finite number of axioms [Mon64], and this alone ...
23
Word Representability of Line Graphs
... Although almost all graphs are non-representable (as discussed in [1]) and even though a criteria in terms of semi-transitive orientations is given in [5] for a graph to be representable, essentially only two explicit ...
6
Word-representability of face subdivisions of triangular grid graphs
... no directed path can connect a vertex on a horizontal line to another vertex to the left of it on the same line; second, there exist no optional arcs whose arrow goes up for a directed p[r] ...
17
On word-representability of polyomino triangulations
... If B and C each have at least one internal vertex, then, taking into account that the polyomino is convex, T has a 3 × 3 grid graph with the bottom rightmost vertex colored by 4 as an in[r] ...
11
The Representability of City Councils in Turkey: The Case of Kahramanmaras Province
... According to the obtained results, there exists a difference between the statements as “the local society is effective upon the determination of municipality council mem[r] ...
15
Word-representability of triangulations of rectangular polyomino with a single domino tile
... But then we have six possible subcases to be considered: Four subcases are presented in Figure 15, where colouring of vertices is shown, and two subcases correspond to B1 rotated 180 deg[r] ...
14
Towards Smarter MACE-style Model Finders
... The representability of interpretations in the language of solve k is crucial for checking if the candidate interpretation I is a model of F.. In fact, the CEGAR approach seems to be goi[r] ...
17
A comprehensive introduction to the theory of word-representable graphs
... 7 Word-Representability and Operations on Graphs In this section we consider some of the most basic operations on graphs, namely, taking the complement, edge subdivision, edge contractio[r] ...
37
Prime Numbers and Polynomials
... In the paper [31] Pleasants proves a Theorem about the representability of infinitely many primes by means of a quite general class of cubic polynomials several variables. An nearly obvious necessary condition ...
217