Dodecahedral_graph
WebNov 6, 2024 · There are a lot of polyhedron graphs available in Mathematica. You can list them up with: PolyhedronData [] The graph in your question you can get like: dodecahedron = PolyhedronData … WebThe Peterson graph is a cubic, undirected graph with 10 nodes and 15 edges [1] . Julius Petersen constructed the graph as the smallest counterexample against the claim that a connected bridgeless cubic graph has an edge colouring with three colours [2]. Parameters: create_usingNetworkX graph constructor, optional (default=nx.Graph)
Dodecahedral_graph
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Webconnected_watts_strogatz_graph. #. connected_watts_strogatz_graph(n, k, p, tries=100, seed=None) [source] #. Returns a connected Watts–Strogatz small-world graph. Attempts to generate a connected graph by repeated generation of Watts–Strogatz small-world graphs. An exception is raised if the maximum number of tries is exceeded. WebThe graph entity domain contains both the usual and the fractional chromatic numbers for many graphs, as well as concrete colorings achieving these minimal values. For example, the dodecahedral graph has chromatic number 3. In [9]:= Out [9]= A coloring achieving this value can be retrieved as follows. In [10]:= Out [10]=
Webcircular_ladder_graph. #. circular_ladder_graph(n, create_using=None) [source] #. Returns the circular ladder graph C L n of length n. C L n consists of two concentric n-cycles in which each of the n pairs of concentric nodes are joined by an edge. Node labels are the integers 0 to n-1. Webwheel_graph. #. The wheel graph consists of a hub node connected to a cycle of (n-1) nodes. If an integer, node labels are 0 to n with center 0. If an iterable of nodes, the center is the first. Warning: n is not checked for duplicates and if present the resulting graph may not be as desired. Make sure you have no duplicates. Graph type to create.
WebPython Networkx图形不是平面的,python,networkx,Python,Networkx,我正试图画一个网络图。我的代码非常简单。对于小案例研究，此代码运行良好。 In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") or duodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120.
The skeleton of the dodecahedron (the vertices and edges) form a graph. It is one of 5 Platonic graphs, each a skeleton of its Platonic solid. This graph can also be constructed as the generalized Petersen graph G(10,2). The high degree of symmetry of the polygon is replicated in the properties of this graph, which is distance-transitive, distance-regular, and symmetric. The automorphism group has order 120. The vertices can be col…
WebDec 20, 2024 · We consider vertex colourings of the dodecahedral graph with five colours, such that on each face the vertices are coloured with all the five colours. We show that the total number of these ... dauern na hrvatskiWebThe dodecahedral graph is Hamiltonian – there is a cycle containing all the vertices. Indeed, this name derives from a mathematical game invented in 1857 by William Rowan Hamilton, the icosian game. The game's object … bauhaus filialen berlinWebApr 29, 2012 · import networkx as nx import matplotlib.pyplot as plt import matplotlib.image as mpimg from io import BytesIO g = nx.dodecahedral_graph() d = nx.drawing.nx_pydot.to_pydot(g) # `d` is … bauhaus firmakontoWebWith all the pieces in place, you can now display a minimal fractional coloring for the dodecahedral graph. As expected, adjacent vertices share no common colors in this … bauhaus fdsWebThe snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagonsand the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. It has two distinct forms, which are mirror images(or "enantiomorphs") of each other. dauern na njemackomWebOct 1, 2024 · The dodecahedral graph is the platonic graph corresponding to the connectivity of the vertices of dodecahedron, where the platonic graph is a polyhedral … bauhaus documentaryWebThe dodecahedron is one of 5 Platonic graphs. These solids have congruent vertices, faces, edges and angles. In the planar drawing and the graph you can clearly see that a dodecahedron has got 20 vertices, 30 … dauern konjunktiv 2