[HTML][HTML] Infinite families of directed strongly regular graphs using equitable partitions

Š Gyürki - Discrete Mathematics, 2016 - Elsevier
In this paper we introduce a new construction of directed strongly regular graphs (briefly
DSRGs) from smaller ones. With its aid each suitable equitable partition in a single DSRG …

On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index

X Huang, L Lu, J Park - arXiv preprint arXiv:2209.10352, 2022 - arxiv.org
In 1988, Duval introduced the concept of directed strongly regular graphs, which can be
viewed as a directed graph version of strongly regular graphs. Such directed graphs have …

Directed strongly regular Cayley graphs on dihedral groups

Y He, B Zhang, R Feng - Applied Mathematics and Computation, 2021 - Elsevier
In this paper, we construct some directed strongly regular Cayley graphs on Dihedral
groups, which generalizes some earlier constructions. We also characterize certain directed …

A note on directed strongly regular graphs

J Michel - Graphs and Combinatorics, 2017 - Springer
Abstract Duval, in (J Comb Theory Ser 47: 71–100, 1988), introduced the concept of directed
strongly regular graphs. In this paper we construct rich families of directed strongly regular …

[PDF][PDF] Construction of directed strongly regular graphs as generalized cayley graphs

R Feng, L Zeng - arXiv preprint arXiv:1410.1161, 2014 - Citeseer
Directed strongly regular graphs were introduced by Duval in 1998 as one of the possible
generalization of classical strongly regular graphs to the directed case. Duval also provided …

Düzenli graflar Için cebirsel yöntemler

S Piri - 2023 - search.proquest.com
Düzenli graflar, son 50 yılda kodlama ve kriptografi teorisine ciddi katkılar sağlamıştır. Bu
nedenle graf teorisi çeşitli alanlardan araştırmacıların büyük ilgisini çekmiştir. Bu grafların …

Two kinds of constructions of directed strongly regular graphs

J Zhou, Z He, Z Chai - Designs, Codes and Cryptography, 2021 - Springer
In this paper, we construct directed strongly regular graphs with new parameters by using
partial sum families with local rings. 16 families of new directed strongly regular graphs are …

The Constructions of directed strongly regular graph by algebraic method

Y He, B Zhang, H Cao - arXiv preprint arXiv:1703.01828, 2017 - arxiv.org
The concept of directed strongly regular graphs (DSRG) was introduced by Duval in" A
Directed Graph Version of Strongly Regular Graphs"[Journal of Combinatorial Theory …

Two Kinds of Constructions of Directed Strongly Regular Graphs from Partial Sum Families and Semi-direct Products of Groups

J Zhou, Z He, Z Chai - arXiv preprint arXiv:2002.09867, 2020 - arxiv.org
In this paper, we construct directed strongly regular graphs with new parameters by using
partial sum families with local rings. 16 families of new directed strongly regular graphs are …

Notes on Various Methods for Constructing Directed Strongly Regular Graphs

J Michel, B Ding - arXiv preprint arXiv:1510.00110, 2015 - arxiv.org
Duval, in" A Directed Graph Version of Strongly Regular Graphs"[{\it Journal of
Combinatorial Theory}, Series A 47 (1988) 71-100], introduced the concept of directed …