Results 51 to 60 of about 445 (76)
ALTERNATING AND SYMMETRIC GROUPS WITH EULERIAN GENERATING GRAPH
Given a finite group $G$ , the generating graph $\unicode[STIX]{x1D6E4}(G)$
ANDREA LUCCHINI, CLAUDE MARION
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An extremal problem on potentially $K_{m}-P_{k}$-graphic sequences
A sequence $S$ is potentially $K_{m}-P_{k}$ graphical if it has a realization containing a $K_{m}-P_{k}$ as a subgraph. Let $\sigma(K_{m}-P_{k}, n)$ denote the smallest degree sum such that every $n$-term graphical sequence $S$ with $\sigma(S)\geq \sigma(
Lai, Chunhui
core +1 more source
Complete graphs: the space of simplicial cones, and their path tree representation
Let $G$ be a complete graph with $n+1$ vertices. In a recent paper of the authors, it is shown that the path trees of the graph play a special role in the structure of the truncated powers and partition functions that are associated with the graph ...
Ron, Amos, Shengnan, Wang
core
On the δ-chromatic numbers of the Cartesian products of graphs
In this work, we study the δ\delta -chromatic number of a graph, which is the chromatic number of the δ\delta -complement of a graph. We give a structure of the δ\delta -complements and sharp bounds on the δ\delta -chromatic numbers of the Cartesian ...
Tangjai Wipawee +2 more
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On Nordhaus-Gaddum type relations of δ-complement graphs. [PDF]
Vichitkunakorn P +2 more
europepmc +1 more source
Steiner Degree Distance of Two Graph Products
The degree distance DD(G) of a connected graph G was invented by Dobrynin and Kochetova in 1994. Recently, one of the present authors introduced the concept of k-center Steiner degree distance defined as SDDk(G)=∑S⊆V(G)|S|=k[∑v∈SdegG(v)]dG(S),SDD_k (G)
Mao Yaping, Wang Zhao, Das Kinkar Ch.
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Social network analysis by Turiyam graphs. [PDF]
Ganati GA, Repalle VNSR, Ashebo MA.
europepmc +1 more source
Random independent sets in triangle-free graphs
We establish several new results on the existence of probability distributions on the independent sets in triangle-free graphs where each vertex is present with a given probability.
Anders Martinsson, Raphael Steiner
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Several Zagreb indices of power graphs of finite non-abelian groups. [PDF]
Ismail R +5 more
europepmc +1 more source
On the maximum atom-bond sum-connectivity index of graphs
The atom-bond sum-connectivity (ABS) index of a graph GG with edges e1,…,em{e}_{1},\ldots ,{e}_{m} is the sum of the numbers 1−2(dei+2)−1\sqrt{1-2{\left({d}_{{e}_{i}}+2)}^{-1}} over 1≤i≤m1\le i\le m, where dei{d}_{{e}_{i}} is the number of edges adjacent
Alraqad Tariq +3 more
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