A derived graph is a graph obtained from a given graph according to some predetermined
rules. Two of the most frequently used derived graphs are the line graph and the total graph …

In this work, we present the analytical closed forms of the Balaban index for anthracene and
catacondensed benzenoid systems using group theoretic techniques. The Balaban index is …

A recently introduced graph invariant Ω (G) for a graph G is proven to have several nice
applications in Graph Theory and Combinatorics. This number gives direct information on …

Special numbers have very important mathematical properties alongside their numerous
applications in many fields of science. Probably the most important of those is the Fibonacci …

For a realizable set of non-negative integers, it is well-known that there are many ways of
realizing it as a graph having this set as degree sequence. For a given degree sequence, a …

The independence number of a graph which is just the cardinality of a largest independent
vertex set, ie, the size of a maximum independent vertex set, is one of the many numbers …

On some new properties of omega invariant Page 23 THE PROCEEDINGS BOOK OF GFSNP
2024 On some new properties of omega invariant Ismail Naci Cangul We shall give some …

On the number of realizations of some degree sequences Page 26 THE PROCEEDINGS
BOOK OF GFSNP 2024 On the number of realizations of some degree sequences Ismail Naci …

Abstract Bu doktora tezinde Erich Hecke tarafından 1936 yılında yayımlanan bir makalede
tanımlanmış olan Hecke gruplarının normal alt grupları, düzgün figürler ile arasındaki bire bir …

Let G be an undirected graph with vertex set V and edge set E. Let n=| V| and m=| E| be the
order and size of G, respectively. The degree of a vertex v∈ V is denoted by dv and is …