نتایج جستجو برای: line graphs

تعداد نتایج: 504767  

Journal: :Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 2020

Journal: :AKCE International Journal of Graphs and Combinatorics 2020

The D-eigenvalues {µ1,…,µp} of a graph G are the eigenvalues of its distance matrix D and form its D-spectrum. The D-energy, ED(G) of G is given by ED (G) =∑i=1p |µi|. Two non cospectral graphs with respect to D are said to be D-equi energetic if they have the same D-energy. In this paper we show that if G is an r-regular graph on p vertices with 2r ≤ p - 1, then the complements of iterated lin...

Let n 1 be an integer. The hypercube Qn is the graph whose vertex set isf0;1gn, where two n-tuples are adjacent if they differ in precisely one coordinate. This graph has many applications in Computer sciences and other area of sciences. Inthe graph Qn, the layer Lk is the set of vertices with exactly k 1’s, namely, vertices ofweight k, 1 k n. The hyper-star graph B(n;k) is...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2013
Dajie Liu Stojan Trajanovski Piet Van Mieghem

For a fixed number N of nodes, the number of links L in the line graph H(N,L) can only appear in consecutive intervals, called a band of L. We prove that some consecutive integers can never represent the number of links L in H(N,L), and they are called a bandgap of L. We give the exact expressions of bands and bandgaps of L. We propose a model which can randomly generate simple graphs which are...

2010
Hannah Nola Thompson Hannah Thompson

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Journal: :Discrete Mathematics 1999

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