• Mathematics
  • Published 2015

Matrices of graphs and designs with emphasis on their integral eigen-pair balance characteristic.

@inproceedings{Jessop2015MatricesOG,
  title={Matrices of graphs and designs with emphasis on their integral eigen-pair balance characteristic.},
  author={Carol Lynne. Jessop},
  year={2015}
}
The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for graphs. The properties of graphs are immediately adopted by their associated designs, and the linear algebra of the common matrix, will apply to both designs and graphs sharing this matrix. We apply various techniques of finding the eigenvalues of the matrices associated with… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 37 REFERENCES

Incomplete Block Designs

VIEW 16 EXCERPTS
HIGHLY INFLUENTIAL

Elementary Linear Algebra

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

The Minimum Covering Energy of a Graph

Adiga, C. Bayad, A. Gutman, S ISrinivas
  • Kragujevac J. Sci
  • 2012
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Spectra of Graphs

VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Energy of Graphs. A few open problems and some suggestions. dragance106@yahoo.com

D. Stevanoviç
  • 2006
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Ultrafast consensus in small-world networks

  • Proceedings of the 2005, American Control Conference, 2005.
  • 2005
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL