Results 31 to 40 of about 177,806 (308)
Spectral recognition of graphs [PDF]
At some time, in the childhood of spectral graph theory, it was conjectured that non-isomorphic graphs have different spectra, i.e. that graphs are characterized by their spectra.
Cvetković Dragoš
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Metric Locations in Pseudotrees: A Survey and New Results
This paper presents a comprehensive review of the literature on the original concept of metric location, along with its various adaptations and extensions that have been developed over time.
José Cáceres, Ignacio M. Pelayo
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Distance equienergetic graphs of diameter 4
Let Γ1, Γ2 and Γ3 be graphs with pairwise disjoint vertex sets. The graph Θ(Γ1,Γ2,Γ3) is obtained from the graphs Γ1∘Γ3 (the corona product) and Γ2 by joining each vertices of Γ1 in Γ1∘Γ3 with every vertices in Γ2.
B.J. Manjunatha +2 more
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ON DISTANCE-i-GRAPHS OF DISTANCE-REGULAR GRAPHS
Let \(G\) be a graph. The distance \(i\)-graph of \(G\) is the graph \(G_ i\) defined on the vertex set of \(G\), and \(u\) and \(v\) are adjacent if and only if the distance between \(u\) and \(v\) is \(i\). This paper studies the distance \(i\)-graph of a distance regular graph and its connected component, and obtains a lot of special features of the
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On the degree distance of a graph
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Peter Dankelmann +3 more
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The distance coloring of graphs [PDF]
Let $G$ be a connected graph with maximum degree $Δ\ge 3$. We investigate the upper bound for the chromatic number $χ_γ(G)$ of the power graph $G^γ$. It was proved that $χ_γ(G) \leΔ\frac{(Δ-1)^γ-1}{Δ-2}+1=:M+1$ with equality if and only $G$ is a Moore graph.
Miao, Lian Ying, Fan, Yi Zheng
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The Weisfeiler–Leman Dimension of Distance-Hereditary Graphs
Graf nazýváme distančně dědičný když v libovolném souvislém indukovaném podgrafe je vzdálenost dvou vrcholů rovnaká jako v původním grafu. V článku dokážeme, že WL-dimenze distnčně dědičných grafů je dva.A graph is said to be distance-hereditary if the ...
Roman Nedela +6 more
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Biophysical approaches for studying viral entry
Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
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Some new results on the reciprocal complementary Wiener number of graphs [PDF]
Ramin Nasiri, Ali Reza Shojaeifard
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