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Topological indices involving eccentricities and properties of graphs

期刊: ARS COMBINATORIA, 2021; 154 ()

In this paper, we present sufficient conditions based on some topological indices involving eccentricities for a graph to be beta-deficient, k-hamilto......

Hamilton Paths in n-Extendable Bipartite Graphs

期刊: ARS COMBINATORIA, 2021; 154 ()

A graph G is said to he n-extendable if it has a matching of size n, and every matching of size n extends to a perfect matching of G. Let G = (X, Y) h......

On the Edge-Szeged index of unicyclic graphs

期刊: ARS COMBINATORIA, 2021; 154 ()

Let e = uv be an edge of G, m(1)(e) be the number of edges of G lying closer to vertex u than vertex v and m(2)(e) the number of edges of G lying clos......

Further results on Reduced Second Zagreb index

期刊: ARS COMBINATORIA, 2021; 154 ()

For a (molecular) graph, Zagreb indices (M-1 and M-2) are two well-known topological indices. Recently M-2 - M-1 was studied, and a new vertexdegree-b......

The anti-Kekule number of zigzag and armchair carbon nanotubes

期刊: ARS COMBINATORIA, 2021; 154 ()

The anti-Kekule number of a connected graph G is the smallest number of edges whose removal will result in a connected subgraph without Kekule structu......

The L(3,2,1)-labeling number of the Cartesian product of a complete graph and a cycle

期刊: ARS COMBINATORIA, 2021; 154 ()

The L(3, 2, 1) -labeling number of a graph G is the smallest number k such that G has a k-L(3, 2, 1) -labeling. In 2015, Kim et al.[L(3,2,1)-labeling ......

L(2,1)-circular-labelings of the edge-path-replacements

期刊: ARS COMBINATORIA, 2021; 154 ()

Let S(m) denote a circle of circumference m. The circular distance of two numbers (or two points on S(m)) a and b with 0 <= a, b < m on S(m), de......

Forbidden Triples Involving the Complete Bipartite Graph with Partite Sets Having Cardinalities Two and Three

期刊: ARS COMBINATORIA, 2021; 154 ()

For a graph G and a set F of connected graphs, G is said be F-free if G does not contain any member of F as an induced subgraph. We let G(3)(F) denote......

All fractional [a, b]-factors with prescribed properties

期刊: ARS COMBINATORIA, 2020; 149 ()

Let a and b be two positive integers with 1 <= a <= b, and let G be a graph of order n >= (a+b)(2a+b)/a. We say that G admits all fractional ......

The normalized Laplacian spectra of the double coronae based on R-graphs

期刊: ARS COMBINATORIA, 2020; 149 ()

For simple graphs G, G(1) and G(2), we denote their double corona based on R-graph by G((R)) circle times{G(1), G(2)}. This paper determines the norma......

Directed proper connection number and almost spanning subgraphs

期刊: ARS COMBINATORIA, 2020; 149 ()

Let G be an n-vertex strongly connected digraph. In this paper, the relationships between almost spanning strongly connected bipartite subgraphs and t......

Relationships of bounds for sizes of subspace codes in singular linear spaces over finite fields

期刊: ARS COMBINATORIA, 2020; 149 ()

The asymptotic value between the size of a lifted maximum rank distance codes and the size of Singleton bound and asymptotic value between the size of......

Automorphism group of bubble-sort star graph

期刊: ARS COMBINATORIA, 2020; 149 ()

Let S-n be the symmetric group of degree n with n >= 3. Set S = {(1 i), (j j+1) : 2 <= i <= n, 2 <= 5 j <= n - 1}. The bubble-sort star......

Construction of Constant Dimension Codes in Some Cases

期刊: ARS COMBINATORIA, 2020; 149 ()

In this paper, we study some bounds of constant dimension codes further in Grassmannian space G(q)(n, k). There is an increasing interest in subspace ......

Lourdusamy's conjecture for K-n(-k1) x K-m(-k2)

期刊: ARS COMBINATORIA, 2020; 149 ()

Given a distribution of pebbles on the vertices of a connected graph G, a pebbling move on G consists of removing two pebbles from one vertex and plac......

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