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Keywords
(5)
Graph Spectrum
Quantum Gravity
Representation Theory
Spectrum
2 dimensional
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Group representations in probability and statistics
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Simplices and Spectra of Graphs
Simplices and Spectra of Graphs,10.1007/s004540099206y,Discrete & Computational Geometry,Bojan Mohar,Igor Rivin
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Simplices and Spectra of Graphs
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Citations: 2
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Bojan Mohar
,
Igor Rivin
In this note we show the n2dimensional volumes of codimension 2 faces of an ndimensional simplex are algebraically independent functions of the lengths of edges. In order to prove this we compute the complete
spectrum
of a combinatorially interesting graph.
Journal:
Discrete & Computational Geometry  DCG
, vol. 43, no. 3, pp. 516521, 2010
DOI:
10.1007/s004540099206y
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Citation Context
(1)
...As a final remark, we would like to point out that our original approach to this problem [
9
] used results about divisors [6] (also known as equitable partitions [8]) combined with the representation theory of the symmetric group and the notion of Gelfand pairs as developed in [7]...
Bojan Mohar
,
et al.
Simplices and spectra of graphs, continued
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(6)
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Journal:
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Journal:
Nuclear Physics B  NUCL PHYS B
, vol. 796, no. 3, pp. 581621, 2008
Theory and applications of distance geometry
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L. M. Blumenthal
Published in 1970.
Group representations in probability and statistics
(
Citations: 437
)
Persi Diaconis
Published in 1988.
Simplices with Equiareal Faces
(
Citations: 9
)
Peter Mcmullen
Journal:
Discrete & Computational Geometry  DCG
, vol. 24, no. 23, pp. 397412, 2000
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Citations
(2)
Applications of dimensionality reduction and exponential sums to graph automorphism
Madhusudan Manjunath
,
Vikram Sharma
Journal:
Theoretical Computer Science  TCS
, vol. 412, no. 29, pp. 36393649, 2011
Simplices and spectra of graphs, continued
Bojan Mohar
,
Igor Rivin
Published in 2009.