Examples of using Graph has in English and their translations into Serbian
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Colloquial
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Ecclesiastic
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Computer
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Cyrillic
The Holt graph has 54 edges.
According to the theorem of Kőnig(1916), every bipartite regular graph has a 1-factorization.
BG: My graph has numbers on it.
Depending on these conditions, the graph has three variations.
However, the graph has maximum matchings with seven edges, so β= 7.
To see this, note that(1) a weak 2-coloring is a domatic partition if thereis no isolated vertex, and(2) any graph has a weak 2-coloring.
Every vertex of this graph has an even degree.
A regular graph has a 1-factorization if and only if it is of class 1.
The bound of 4n- 8 on the maximum possible number of edges in a 1-planar graph can be used to show that the complete graph K7 on seven vertices is not 1-planar, because this graph has 21 edges and in this case 4n- 8= 20< 21.
Every k-regular graph has degeneracy exactly k.
So, a graph has an Eulerian cycle if and only if it can be decomposed into edge-disjoint cycles and its nonzero-degree vertices belong to a single connected component.
Geometrically, this means that the graph has no cusps, self-intersections, or isolated points.
If a graph has treewidth or pathwidth at most k, then it is a subgraph of a chordal graph which has a perfect elimination ordering in which each vertex has at most k earlier neighbors.
Every finite planar graph has a vertex of degree five or less;
Every graph has a degeneracy ordering, an ordering of the vertices such that each vertex has d or fewer neighbors that come later in the ordering; a degeneracy ordering may be found in linear time by repeatedly selecting the vertex of minimum degree among the remaining vertices.
It has been conjectured(combining Vizing's theorem andBrooks' theorem) that any graph has a total coloring in which the number of colors is at most the maximum degree plus two, but this remains unproven.
As any planar graph has arboricity three, the thickness of any graph is at least equal to a third of the arboricity, and at most equal to the arboricity.
A problem in NL may be transformed into a problem of reachability in a directed graph representing states and state transitions of the nondeterministic machine, andthe logarithmic space bound implies that this graph has a polynomial number of vertices and edges, from which it follows that NL is contained in the complexity class P of problems solvable in deterministic polynomial time.
Since this graph has Θ(n2) edges for n distinct points, constructing it already requires Ω(n2) time.
Eulerian matroid, an abstract generalization of Eulerian graphs Five room puzzle Handshaking lemma, proven by Euler in his original paper,showing that any undirected connected graph has an even number of odd-degree vertices Hamiltonian path- a path that visits each vertex exactly once. Route inspection problem, search for the shortest path that visits all edges, possibly repeating edges if an Eulerian path does not exist.
In particular, any graph has an equitable edge coloring, an edge coloring with an optimal number of colors in which every two color classes differ in size by at most one unit.
According to Turán's theorem,the Turán graph has the maximum possible number of edges among all(r+ 1)-clique-free graphs with n vertices.
For instance, the Heawood graph has crossing number 3, but it is not necessary for its three crossings to all occur on the same edge of the graph, so it is 1-planar, and can in fact be drawn in a way that simultaneously optimizes the total number of crossings and the crossings per edge.
A k-degenerate graph has chromatic number at most k+ 1;
Since the revision graph has many options that affect how it is shown, you can also set the options to use when creating the output image file.
The term Eulerian graph has two common meanings in graph theory.
Every finite planar graph has a vertex of degree five or less; therefore, every planar graph is 5-degenerate, and the degeneracy of any planar graph is at most five.
This 3-regular planar graph has 16 vertices and 24 edges, but only 7 edges in any maximum matching.
An undirected, connected graph has an Eulerian path if and only if it has either 0 or 2 vertices of odd degree.
Similarly, every outerplanar graph has degeneracy at most two, and the Apollonian networks have degeneracy three.