On the tricyclic graphs with three disjoint 6-cycles and maximum matching energy

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity

Let $G$ be a connected graph on $n$ vertices. $G$ is called tricyclic if it has $n + 2$ edges, and tetracyclic if $G$ has exactly $n + 3$ edges. Suppose $mathcal{C}_n$ and $mathcal{D}_n$ denote the set of all tricyclic and tetracyclic $n-$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in $mathcal{C}_n$ and $mathcal{D}_n...

متن کامل

Disjoint Cycles and Chorded Cycles in Graphs

Very recently, Bialostocki et al. proposed the following conjecture. Let r, s be two nonnegative integers and let G = (V (G), E(G)) be a graph with |V (G)| ≥ 3r + 4s and minimum degree δ(G) ≥ 2r + 3s. Then G contains a collection of r cycles and s chorded cycles, all vertex-disjoint. We prove that this conjecture is true.

متن کامل

Tricyclic graphs with maximum Merrifield-Simmons index

It is well known that the graph invariant, ‘the Merrifield–Simmons index’ is important one in structural chemistry. The connected acyclic graphs with maximal and minimal Merrifield–Simmons indices are determined by Prodinger and Tichy [H. Prodinger, R.F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982) 16–21]. The sharp upper and lower bounds for theMerrifield–Simmons indices of u...

متن کامل

Random Graphs with Few Disjoint Cycles

The classical Erdős-Pósa theorem states that for each positive integer k there is an f(k) such that, in each graph G which does not have k + 1 disjoint cycles, there is a blocker of size at most f(k); that is, a set B of at most f(k) vertices such that G − B has no cycles. We show that, amongst all such graphs on vertex set {1, . . . , n}, all but an exponentially small proportion have a blocke...

متن کامل

Graphs with many Vertex-Disjoint Cycles

We consider finite and undirected graphs G with vertex set V (G) and edge set E(G) that may contain multiple edges but no loops. We use standard terminology [15] and only recall a few notions. If an edge e ∈ E(G) is incident with the two vertices u and v in V (G), then we write e = uv. The neighbourhood NG(u) of a vertex u ∈ V (G) is the set of vertices v ∈ V (G) with e = uv for some e ∈ E(G). ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Tamkang Journal of Mathematics

سال: 2015

ISSN: 2073-9826,0049-2930

DOI: 10.5556/j.tkjm.46.2015.1768