On strongly regular graphs with m2 = qm3 and m3 = qm2

Lepovic, Mirko. "On strongly regular graphs with m2 = qm3 and m3 = qm2." Serdica Mathematical Journal 37.4 (2011): 353-364. <http://eudml.org/doc/281562>.

@article{Lepovic2011,
abstract = {2010 Mathematics Subject Classification: 05C50.We say that a regular graph G of order n and degree r і 1 (which is not the complete graph) is strongly regular if there exist non-negative integers t and q such that |SiЗSj| = t for any two adjacent vertices i and j, and |SiЗSj| = q for any two distinct non-adjacent vertices i and j, where Sk denotes the neighborhood of the vertex k. Let l1 = r, l2 and l3 be the distinct eigenvalues of a connected strongly regular graph. Let m1 = 1, m2 and m3 denote the multiplicity of r, l2 and l3, respectively. We here describe the parameters n, r, t and q for strongly regular graphs with m2 = qm3 and m3 = qm2 for q = 2, 3, 4.},
author = {Lepovic, Mirko},
journal = {Serdica Mathematical Journal},
keywords = {Strongly Regular Graph; Conference Graph; Integral Graph; strongly regular graph; conference graph; integral graph},
language = {eng},
number = {4},
pages = {353-364},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On strongly regular graphs with m2 = qm3 and m3 = qm2},
url = {http://eudml.org/doc/281562},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Lepovic, Mirko
TI - On strongly regular graphs with m2 = qm3 and m3 = qm2
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 4
SP - 353
EP - 364
AB - 2010 Mathematics Subject Classification: 05C50.We say that a regular graph G of order n and degree r і 1 (which is not the complete graph) is strongly regular if there exist non-negative integers t and q such that |SiЗSj| = t for any two adjacent vertices i and j, and |SiЗSj| = q for any two distinct non-adjacent vertices i and j, where Sk denotes the neighborhood of the vertex k. Let l1 = r, l2 and l3 be the distinct eigenvalues of a connected strongly regular graph. Let m1 = 1, m2 and m3 denote the multiplicity of r, l2 and l3, respectively. We here describe the parameters n, r, t and q for strongly regular graphs with m2 = qm3 and m3 = qm2 for q = 2, 3, 4.
LA - eng
KW - Strongly Regular Graph; Conference Graph; Integral Graph; strongly regular graph; conference graph; integral graph
UR - http://eudml.org/doc/281562
ER -