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

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 4, page 353-364
- ISSN: 1310-6600

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topLepovic, 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 -

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