Примеры использования Every maximal на Английском языке и их переводы на Русский язык
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Every maximal outerplanar graph is a chordal graph.
Every maximal outerplanar graph is the visibility graph of a simple polygon.
Note that every maximum matching is maximal, but not every maximal matching is a maximum matching.
Every maximal outerplanar graph is pancyclic, as can be shown by induction.
With more care in choosing which triangle to remove,the same argument shows more strongly that every maximal outerplanar graph is node-pancyclic.
Every maximal planar graph, other than K4 W4, contains as a subgraph either W5 or W6.
A near 2d-gon is a connected graph of finite diameter d with the property that for every vertex x and every maximal clique M there exists a unique vertex x' in M nearest to x.
Every maximal planar graph with five or more vertices has vertex connectivity 3, 4, or 5.
The following conditions are equivalent for an integral domain A: A is integrally closed; Ap(the localization of A with respect to p) is integrally closed forevery prime ideal p; Am is integrally closed for every maximal ideal m.
Since every maximal ideal is a prime ideal, the Jacobson radical- which is the intersection of maximal ideals- must contain the nilradical.
Every chordal graph can be decomposed in this way into a clique-sum of complete graphs, and every maximal planar graph can be decomposed into a clique-sum of 4-vertex-connected maximal planar graphs.
Every maximal independent set is a dominating set, a set of vertices such that every vertex in the graph either belongs to the set or is adjacent to the set.
In particular, we describe the structure of a Schmidt groups in which every maximal subgroup(generalized) permutes with every 4-maximal subgroup, or every 2-maximal subgroup(generalized) permutes with every 4-maximal subgroup.
Every maximal outerplanar graph with n vertices has exactly 2n- 3 edges, and every bounded face of a maximal outerplanar graph is a triangle.
Cographs can be characterized as graphs in which every maximal clique intersects every maximal independent set, and in which the same property is true in all induced subgraphs.
For in this case, every maximal independent set in G corresponds to the set of edges in a triangulation of P, and a calculation involving the Euler characteristic shows that every two triangulations have the same number of edges as each other.
Let G be a split graph, partitioned into a clique C andan independent set I. Then every maximal clique in a split graph is either C itself, or the neighborhood of a vertex in I. Thus, it is easy to identify the maximum clique, and complementarily the maximum independent set in a split graph.
Every maximal outerplanar graph satisfies a stronger condition than Hamiltonicity: it is node pancyclic, meaning that for every vertex v and every k in the range from three to the number of vertices in the graph, there is a length-k cycle containing v. A cycle of this length may be found by repeatedly removing a triangle that is connected to the rest of the graph by a single edge, such that the removed vertex is not v, until the outer face of the remaining graph has length k.
A graph is said to be maximal-clique irreducible if every maximal clique has an edge that belongs to no other maximal clique, and hereditary maximal-clique irreducible if the same property is true for every induced subgraph.
Suppose that either every maximal subgroup of P or every cyclic subgroup of P with order p and with order 4(if P is a non-abelian 2-group) not having a supersoluble supplement in G is weakly quasinormal in G.
As a lower bound, Erdős,Hajnal& Moon(1964) conjectured that every maximal t-biclique-free bipartite graph(one to which no more edges can be added without creating a t-biclique) has at least(t- 1)(n+ m- t+ 1) edges, where n and m are the numbers of vertices on each side of its bipartition.
In an Apollonian network, every maximal clique is a complete graph on four vertices, formed by choosing any vertex and its three earlier neighbors.
Since they are maximal, every module not represented so far is contained in a child X{\displaystyle X} of V{\displaystyle V.
For every two overlapping maximal cliques, the intersection of the two cliques is a separator that splits the differences of the two cliques.
Lipton& Tarjan(1979) augment the given planar graph by additional edges, if necessary,so that it becomes maximal planar every face in a planar embedding is a triangle.
The observation that every chordal polyhedral graph is maximal planar was stated explicitly by Gerlach 2004.
This condition is necessary since every step in a maximal chain is a covering relation, which should change the rank by 1.
Every perfect matching is maximum and hence maximal.
For every page have been built the maximal pages interpreting as a possible society or it's part's development prediction.