Temat: Zagreb index - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A Few Examples and Counterexamples in Spectral Graph Theory
Autorzy:: Stevanović, Dragan
Milosavljević, Nikola
Vukičević, Damir
Powiązania:: https://bibliotekanauki.pl/articles/31563587.pdf
Data publikacji:: 2020-05-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: communicability distance
spectral radius
integral graph
second Zagreb index
Wiener index
estrada index
almost cospectral graphs
NEPS of graphs
Opis:: We present a small collection of examples and counterexamples for selected problems, mostly in spectral graph theory, that have occupied our minds over a number of years without being completely resolved.
Źródło:: Discussiones Mathematicae Graph Theory; 2020, 40, 2; 637-662
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Comparing Eccentricity-Based Graph Invariants
Autorzy:: Hua, Hongbo
Wang, Hongzhuan
Gutman, Ivan
Powiązania:: https://bibliotekanauki.pl/articles/31348117.pdf
Data publikacji:: 2020-11-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: eccentricity (of vertex)
Zagreb eccentricity index
eccentric distance sum
connective eccentricity index
Opis:: The first and second Zagreb eccentricity indices (EM₁ and EM₂), the eccentric distance sum (EDS), and the connective eccentricity index (CEI) are all recently conceived eccentricity-based graph invariants, some of which found applications in chemistry. We prove that EDS ≥ EM₁ for any connected graph, whereas EDS > EM₂ for trees. Moreover, in the case of trees, EM₁ ≥ CEI, whereas EM₂ > CEI for trees with at least three vertices. In addition, we compare EDS with EM2, and compare EM₁, EM₂ with CEI for general connected graphs under some restricted conditions.
Źródło:: Discussiones Mathematicae Graph Theory; 2020, 40, 4; 1111-1125
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: The Product Connectivity Banhatti Index of a Graph
Autorzy:: Kulli, V.R.
Chaluvaraju, B.
Boregowda, H.S.
Powiązania:: https://bibliotekanauki.pl/articles/31343417.pdf
Data publikacji:: 2019-05-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Randić index
Zagreb indices
Banhatti indices
product connectivity Banhatti index
Opis:: Let $ G = (V, E) $ be a connected graph with vertex set $ V (G) $ and edge set $ E(G) $. The product connectivity Banhatti index of a graph $G$ is defined as, $ PB(G)= \sum_{ue} \tfrac{1}{ \sqrt { d_G(u) d_G(e) } } $, where $ue$ means that the vertex $u$ and edge $e$ are incident in $G$. In this paper, we determine $PB(G)$ of some standard classes of graphs. We also provide some relationship between $PB(G)$ in terms of order, size, minimum / maximum degrees and minimal non-pendant vertex degree. In addition, we obtain some bounds on $PB(G)$ in terms of Randić, Zagreb and other degree based topological indices of $G$.
Źródło:: Discussiones Mathematicae Graph Theory; 2019, 39, 2; 505-517
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

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