On the super connectivity of direct product of graphs

F Soliemany, M Ghasemi, R Varmazyar - RAIRO-Operations Research, 2022 - rairo-ro.org
A vertex-cut S is called a super vertex-cut if G− S is disconnected and it contains no isolated
vertices. The super-connectivity, κ′, is the minimum cardinality over all super vertex-cuts …

Super connectivity of a family of direct product graphs

F Soliemany, M Ghasemi… - International Journal of …, 2022 - Taylor & Francis
Let G 1 and G 2 be two graphs. The Kronecker product G 1× G 2 has vertex set V (G 1× G
2)= V (G 1)× V (G 2) and the edge set E (G 1× G 2)={(u 1, v 1)(u 2, v 2)∣ u 1 u 2∈ E (G 1), v …

On the reliability of modified bubble-sort graphs

M Ghasemi - Transactions on Combinatorics, 2022 - toc.ui.ac.ir
The modified bubble-sort graph $ MB_n $$(n\geq 2) $ has been known as a topology
structure of interconnection networks‎.‎ In this paper‎,‎ we propose simple method for arc …

Under which conditions is λ″(G)=κ″(L(G))?

F Soliemany, M Ghasemi… - AKCE International Journal …, 2023 - Taylor & Francis
Full article: Under which conditions is λ″(G)=κ″(L(G))? Skip to Main Content Taylor and
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On -restricted connectivity of direct product of graphs

H Cheng, R Varmazyar, M Ghasemi - … Mathematics, Algorithms and …, 2023 - World Scientific
Let G be a graph. A vertex-cut S of G is said to be k-restricted if every component of G− S has
at least k vertices, and cyclic if G− S has at least two components which contain a cycle. The …

[PDF][PDF] SOME RESULTS ON DIRECT PRODUCT GRAPHS

Z Ghasemi - i4c.iust.ac.ir
SOME RESULTS ON DIRECT PRODUCT GRAPHS 1 Introduction Page 1 SOME RESULTS
ON DIRECT PRODUCT GRAPHS Zeinab Ghasemi1 Department of Mathematics, Khoy …