Volume 55 (2023)
Volume 54 (2022)
Volume 53 (2021)
Volume 52 (2020)
Volume 51 (2019)
Volume 50 (2018)
Volume 48 (2016)
Volume 47 (2016)
Volume 46 (2015)
Volume 45 (2014)
Volume 44 (2013)
Volume 43 (2009)
Volume 42 (2008)
Volume 41 (2007)
Remainder Cordial Labeling of Graphs

R. Ponraj; K. Annathurai; R. Kala

Volume 49, Issue 1 , June 2017, Pages 17-30

https://doi.org/10.22059/jac.2017.7965

Abstract
  In this paper we introduce remainder cordial labeling of graphs. Let $G$ be a $(p,q)$ graph. Let $f:V(G)\rightarrow \{1,2,...,p\}$ be a $1-1$ map. For each edge $uv$ assign the label $r$ where $r$ is the remainder when $f(u)$ is divided by $f(v)$ or $f(v)$ is divided by $f(u)$ according as $f(u)\geq ...  Read More

Asteroidal number for some product graphs

S. ALAGU; R. KALA

Volume 49, Issue 1 , June 2017, Pages 31-43

https://doi.org/10.22059/jac.2017.7979

Abstract
  The notion of Asteroidal triples was introduced by Lekkerkerker and Boland [6]. D.G.Corneil and others [2], Ekkehard Kohler [3] further investigated asteroidal triples. Walter generalized the concept of asteroidal triples to asteroidal sets [8]. Further study was carried out by Haiko Muller [4]. In this ...  Read More

Edge-tenacity in Networks

Dara Moazzami

Volume 49, Issue 1 , June 2017, Pages 45-53

https://doi.org/10.22059/jac.2017.7980

Abstract
  Numerous networks as, for example, road networks, electrical networks and communication networks can be modeled by a graph. Many attempts have been made to determine how well such a network is "connected" or stated differently how much effort is required to break down communication in the system between ...  Read More

Linear optimization on the intersection of two fuzzy relational inequalities defined with Yager family of t-norms

Amin Ghodousian; Reza Zarghani

Volume 49, Issue 1 , June 2017, Pages 55-82

https://doi.org/10.22059/jac.2017.7981

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Yager family of t-norms is considered as fuzzy composition. Yager family of t-norms is a ...  Read More

Tenacity and some related results

Dara Moazzami

Volume 49, Issue 1 , June 2017, Pages 83-91

https://doi.org/10.22059/jac.2017.7986

Abstract
  Conceptually graph vulnerability relates to the study of graphintactness when some of its elements are removed. The motivation forstudying vulnerability measures is derived from design and analysisof networks under hostile environment. Graph tenacity has been anactive area of research since the the concept ...  Read More

An improved algorithm to reconstruct a binary tree from its inorder and postorder traversals

Niloofar Aghaieabiane; Henk Koppelaar; Peyman Nasehpour

Volume 49, Issue 1 , June 2017, Pages 93-113

https://doi.org/10.22059/jac.2017.7987

Abstract
  It is well-known that, given inorder traversal along with one of the preorder or postorder traversals of a binary tree, the tree can be determined uniquely. Several algorithms have been proposed to reconstruct a binary tree from its inorder and preorder traversals. There is one study to reconstruct a ...  Read More

Linear optimization on Hamacher-fuzzy relational inequalities

Amin Ghodousian; Mohammadsadegh Nouri

Volume 49, Issue 1 , June 2017, Pages 115-150

https://doi.org/10.22059/jac.2017.7988

Abstract
  In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms ...  Read More