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Petersen graph as Kneser graph ,. The Petersen graph is the complement of the line graph of .It is also the Kneser graph,; this means that it has one vertex for each 2-element subset of a 5-element set, and two vertices are connected by an edge if and only if the corresponding 2-element subsets are disjoint from each other.
The edge-connectivity for a graph with at least 2 vertices is less than or equal to the minimum degree of the graph because removing all the edges that are incident to a vertex of minimum degree will disconnect that vertex from the rest of the graph. [1] For a vertex-transitive graph of degree d, we have: 2(d + 1)/3 ≤ κ(G) ≤ λ(G) = d. [11]
In addition, departments or art classifications within the collection or museum may reserve sections of numbers. For example, objects identified by the numbers 11.000 through 11.999 may indicate objects obtained by the museum in 1911; the first 300 numbers might be used to indicate American art, while the next fifty (11.301–350) might be used ...
An example graph, with 6 vertices, diameter 3, connectivity 1, and algebraic connectivity 0.722 The algebraic connectivity (also known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph G is the second-smallest eigenvalue (counting multiple eigenvalues separately) of the Laplacian matrix of G. [1]
[1] Depending on whether the diagram is intended for formal or informal use, certain details may be lacking and must be determined from context. For example, the sample diagram does not indicate the physical type of connection between the PCs and the switch, but since a modern LAN is depicted, Ethernet may be assumed.
Oxygen (1s 2 2s 2 2p 4), fluorine (1s 2 2s 2 2p 5), and neon (1s 2 2s 2 2p 6) then complete the already singly filled 2p orbitals; the last of these fills the second shell completely. [ 39 ] [ 58 ] Starting from element 11, sodium , the second shell is full, making the second shell a core shell for this and all heavier elements.
Retrograde tracing can be achieved through various means, including the use of viral strains as markers of a cell's connectivity to the injection site. The pseudorabies virus (PRV; Bartha strain), for example, may be used as a suitable tracer due to the propensity of the infection to spread upstream through a pathway of synaptically linked ...
The hypercube graph Q n (for n > 1) : is the Hasse diagram of a finite Boolean algebra. is a median graph. Every median graph is an isometric subgraph of a hypercube, and can be formed as a retraction of a hypercube. has more than 2 2 n-2 perfect matchings. (this is another consequence that follows easily from the inductive construction.)