AbstractIn this paper we obtain (q+3−u)-regular graphs of girth 5, for 1≤u≤q−1 with fewer vertices than previously known ones, for each prime q≥13, performing operations of reductions and amalgams on the Levi graph Bq of an elliptic semiplane of type C. We also obtain a 13-regular graph of girth 5 on 236 vertices from B11 using the same technique
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
In this article, some structures in the projective plane of order q are found which allow us to cons...
In this note we construct a new infinite family of (q - 1)-regular graphs of girth 8 and order 2q(q ...
AbstractIn this paper we obtain (q+3−u)-regular graphs of girth 5, for 1≤u≤q−1 with fewer vertices t...
In this paper we obtain $(q+3)$--regular graphs of girth $5$ with fewer vertices than previously kno...
For $3 \le k \le 20$ with $k \ne 4,8,12$, all the smallestcurrently known $k$--regular graphs of gi...
AbstractMurty [A generalization of the Hoffman–Singleton graph, Ars Combin. 7 (1979) 191–193.] const...
For $3 \le k \le 20$ with $k \ne 4,8,12$, all the smallest currently known $k$--regular graphs of g...
In this paper, we construct new infinite families of regular graphs of girth 7 of smallest order kno...
AbstractWe give a construction of k-regular graphs of girth g using only geometrical and combinatori...
AbstractLet k ⩾ 3 be a positive odd integer and 1 be a power of a prime. In this paper we give an ex...
AbstractWe give a graph of girth 5 and valency 5 having 30 vertices. It is shown that this is the mi...
Murty [A generalization of the Hoffman–Singleton graph, Ars Combin. 7 (1979) 191–193.] constructed a...
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
In this note we construct a new infinite family of (q−1)-regular graphs of girth8 and order 2q(q−1)^...
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
In this article, some structures in the projective plane of order q are found which allow us to cons...
In this note we construct a new infinite family of (q - 1)-regular graphs of girth 8 and order 2q(q ...
AbstractIn this paper we obtain (q+3−u)-regular graphs of girth 5, for 1≤u≤q−1 with fewer vertices t...
In this paper we obtain $(q+3)$--regular graphs of girth $5$ with fewer vertices than previously kno...
For $3 \le k \le 20$ with $k \ne 4,8,12$, all the smallestcurrently known $k$--regular graphs of gi...
AbstractMurty [A generalization of the Hoffman–Singleton graph, Ars Combin. 7 (1979) 191–193.] const...
For $3 \le k \le 20$ with $k \ne 4,8,12$, all the smallest currently known $k$--regular graphs of g...
In this paper, we construct new infinite families of regular graphs of girth 7 of smallest order kno...
AbstractWe give a construction of k-regular graphs of girth g using only geometrical and combinatori...
AbstractLet k ⩾ 3 be a positive odd integer and 1 be a power of a prime. In this paper we give an ex...
AbstractWe give a graph of girth 5 and valency 5 having 30 vertices. It is shown that this is the mi...
Murty [A generalization of the Hoffman–Singleton graph, Ars Combin. 7 (1979) 191–193.] constructed a...
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
In this note we construct a new infinite family of (q−1)-regular graphs of girth8 and order 2q(q−1)^...
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativec...
In this article, some structures in the projective plane of order q are found which allow us to cons...
In this note we construct a new infinite family of (q - 1)-regular graphs of girth 8 and order 2q(q ...
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