305 citations · 352 across the 13 of their papers we have counts for
16 papers
The Reduced Smith Group of a Kneser Graph and Its Application to Group-Valued Magic Maps
Ahmet Batal
For a finite abelian group , a map is a -magic map if the sum of its values over the neighbors of a vertex is independent of the vertex. It is affinely gen…
Algebraic characterizations of generating and affinely generating -magic maps and -distance magic labelings on regular graphs
Ahmet Batal
For an abelian group of order , a graph of order is -distance magic if it admits a bijection whose open-neighborhood sums are constant, and group dista…
Bounding the multiplicities of eigenvalues of graph matrices in terms of circuit rank using a new approach
Ahmet Batal
Let be a simple undirected graph, be the circuit rank of , and be the nullity and the multiplicity of eigenvalue of a graph matrix , res…
K-color region select game
Ahmet Batal, Neslihan Gügümcü
The region select game, introduced by Ayaka Shimizu, Akio Kawauchi and Kengo Kishimoto, is a game that is played on knot diagrams whose crossings are endowed with two colors. The g…
Effects of edge addition or removal on the nullity of a graph
Ahmet Batal
Lights Out is a game which can be played on any graph . Initially we have a configuration which assigns one of the two states on or off to each vertex. The aim of the game is to…
Parity of an odd dominating set
Ahmet Batal
For a simple graph with vertex set , we define the closed neighborhood set of a vertex as $N[u]=\{v \in V(G) \; | \; v \; \text{is adjacent to} \; u \…