In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space ⁠ R n {\displaystyle \mathbb {R}...

structure, the statistical mechanics of lattice models on this graph are often easier to solve than on other lattices. The solutions are related to the often...

in a vector space over a field Lattice graph, a graph that can be drawn within a repeating arrangement of points Lattice-based cryptography, encryption...

In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges...

constant Lattice-based cryptography Lattice graph Lattice (module) Lattice (order) Mahler's compactness theorem Reciprocal lattice Unimodular lattice "Symmetry...

structures: a preorder on graphs, a distributive lattice, and a category (one for undirected graphs and one for directed graphs). The computational complexity...

neighbours', then they can be connected by an edge, turning the lattice into a lattice graph. The vertices of Λ {\displaystyle \Lambda } are sometimes referred...

ordered sets and discrete distributive lattices, and have an extensive literature". In phylogenetics, the Buneman graph representing all maximum parsimony...

computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...

neighborhood graph in 8n dimensions has a point for each even lattice, and a line joining two points for each odd 8n dimensional lattice with no norm...

4} knight's graph is the same as the four-dimensional hypercube graph. King's graph Queen's graph Rook's graph Bishop's graph Lattice graph Averbach, Bonnie;...

Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...

In mathematics, the Young–Fibonacci graph and Young–Fibonacci lattice, named after Alfred Young and Leonardo Fibonacci, are two closely related structures...

{6}}} , the resulting graph is isomorphic to the Higman–Sims graph. Furthermore, the set of all automorphisms of the Leech lattice (that is, Euclidean congruences...

which is the complete graph Kq H(2,q), which is the lattice graph Lq,q and also the rook's graph H(d,1), which is the singleton graph K1 H(d,2), which is...

the face-centered cubic Bravais lattice. The lattice describes the repeat pattern; for diamond cubic crystals this lattice is "decorated" with a motif of...

A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered...

connected graph at what fraction 1 – p of failures the graph will become disconnected (no large component). The same questions can be asked for any lattice dimension...

density around 63.5%. A lattice arrangement (commonly called a regular arrangement) is one in which the points of the lattice form a very symmetric pattern...

In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first...

Jürgen (2000). "Frankl's conjecture is true for lower semimodular lattices". Graphs and Combinatorics. 16 (1): 115–116. doi:10.1007/s003730050008. S2CID 12660895...

of finite weighted graphs is that by not being restricted to highly regular structures such as discrete regular grids, lattice graphs, or meshes, they can...

Therefore, this graph is an integral graph. Grishukhin, V. P. (2011), "Delone and Voronoĭ polytopes of the root lattice E7 and the dual lattice E7*", Trudy...

Modular graph, a class of graphs that includes the Hasse diagrams of modular lattices Young–Fibonacci lattice, an infinite modular lattice defined on...

In polytope theory, the edge graph (also known as vertex-edge graph or just graph) of a polytope is a combinatorial graph whose vertices and edges correspond...

be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice (where the local structure repeats periodically in all directions)...

join-irreducible elements. If a lattice is distributive, its covering relation forms a median graph. Furthermore, every distributive lattice is also modular. The...

Geometric Networks, Multidimensional lattice graph, etc. Graph-tool can be used to work with very large graphs [clarification needed] in a variety of...

Laves graph can be defined by selecting one out of every eight points in the three-dimensional integer lattice, and forming their nearest neighbor graph. Specifically...

vertices of the complete graph into the connected components of the subgraph formed by the given set of edges. In this way, the lattice of partitions corresponds...