#Q4 hypercube full#
#Q4 hypercube plus#

Xu, On reliability of the folded hypercubes, Inf. Liu, A structural property of enhanced hypercube, Sixth International Conference on Electronics and Information Engineering (2015). Lai, On the maximal connected component of hypercube with faulty vertices, Inter. Liu, Properties of enhanced hypercube networks, J. Wang, Diagnosability of enhanced hypercubes, IEEE Trans Comput. Esfahanian, Generalized measures of fault tolerance with application to n-cube networks, IEEE Trans. Latifi, Properties and performance of folded hypercubes, IEEE Trans. Lee, The relationship between g-restricted connectivity and g-good-neighbor fault diagnosability of general regular networks, IEEE Trans. Murty, Graph Theory (Springer, Berlin, 2008). Yin, Reliability measure of multiprocessor system based on enhanced hypercubes, Discret. Yang, Reliability analysis of the augmented cubes in terms of the extra edge-connectivity and the component edge-connectivity, J. Feng, Reliability measures in relation to the h-extra edge-connectivity of folded hypercubes, Theor. Tian, Reliability analysis of bijective connection networks in terms of the extra edge-connectivity, Inf.

Li, On reliability of the folded hypercubes in terms of the extra edge-connectivity, Inf. Vumar, The extra connectivity of the enhanced hypercubes, Theoret. Chen, The extra connectivity of enhanced hypercubes, Inter. Ma, The h-extra connectivity of k-ary n-cubes, Theoret. Students who’ve seen this question also like: BUY.

#Q4 hypercube full#

Want to see the full answer Check out a sample Q&A here. Is hypercube graph Q4 planar If not can you provide any bounds on it crossing number Expert Solution. Hsieh, On 3-extra connectivity and 3-extra edge connectivity of folded hypercubes, IEEE Trans. Is hypercube graph Q4 planar If not can you provide any bounds on it crossing number Question. Zhou, On g-extra connectivity of folded hypercubes, Theor. Zhou, On g-extra connectivity of hypercube-like networks, J. Meng, Extraconnectivity of hypercubes, Appl. Harary, Conditional connectivity, Networks 13 ( 1983) 347–357. Fiol, On the extraconnectivity of graphs, Discret. Xu, Topological Structure and Analysis of Interconnection Networks (Kluwer Academic Publishers, 2001). The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category 'Performance'. This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category 'Other. The cookies is used to store the user consent for the cookies in the category 'Necessary'. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category 'Functional'. The cookie is used to store the user consent for the cookies in the category 'Analytics'. These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. It has 8 cubic hyperfaces meeting in 24 square faces. , where or 1 and two vertices are adjacent iff the symbols differ in exactly one coordinate. The number of vertices (points) of a hypercube is 2n (a cube has 23 vertices, for instance). The -hypercube graph, also called the -cube graph and commonly denoted or, is the graph whose vertices are the symbols. For all dimensions, the dual of the hypercube is the cross polytope (and vice versa)….Hypercube.Ī hypercube of dimension n has 2n “sides” (a 1-dimensional line has 2 end points a 2-dimensional square has 4 sides or edges a 3-dimensional cube has 6 faces a 4-dimensional tesseract has 8 cells). The dual of the tesseract is known as the 16-cell. Is a hypercube 4-dimensional?Ī tesseract, also known as a hypercube, is a four-dimensional cube, or, alternately, it is the extension of the idea of a square to a four-dimensional space in the same way that a cube is the extension of the idea of a square to a three-dimensional space.Ī tesseract has 16 polytope vertices, 32 polytope edges, 24 squares, and eight cubes.

#Q4 hypercube plus#

Thus the number of edges in a four-cube is 2 times 12 plus 8 for a total of 32. In geometry, a 10-cube is a ten-dimensional hypercube. For instance, the cubical graph Q3 is the graph formed by the 8 vertices and 12 edges of a three-dimensional cube…. In graph theory, the hypercube graph Qn is the graph formed from the vertices and edges of an n-dimensional hypercube.