Results 291 to 300 of about 1,946,730 (334)
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Acta Mathematica Scientia, 1998
For a graph \(G\), let \(\overline {\sigma}_2\) denote min\(\{ d(u) + d(v)\mid uv \in E(G) \}\). The author shows that if \(G\) is connected and of order \(n \geq 43\) such that the line graph \(L(G)\) is Hamiltonian and \(\overline {\sigma}_2> 2(n/5 - 1)\), then \(L(G)\) is pancyclic. This settles a conjecture of Benhocine et al. For a connected graph
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For a graph \(G\), let \(\overline {\sigma}_2\) denote min\(\{ d(u) + d(v)\mid uv \in E(G) \}\). The author shows that if \(G\) is connected and of order \(n \geq 43\) such that the line graph \(L(G)\) is Hamiltonian and \(\overline {\sigma}_2> 2(n/5 - 1)\), then \(L(G)\) is pancyclic. This settles a conjecture of Benhocine et al. For a connected graph
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Journal of Graph Theory, 1984
AbstractWe give best possible Ore‐like conditions for a graph so that its line graph is Hamiltonian.
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AbstractWe give best possible Ore‐like conditions for a graph so that its line graph is Hamiltonian.
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Proceedings of the working conference on Advanced visual interfaces - AVI '06, 2006
Scientific measurements are often depicted as line graphs. State-of-the-art high throughput systems in life sciences, telemetry and electronics measurement rapidly generate hundreds to thousands of such graphs. Despite the increasing volume and ubiquity of such data, few software systems provide efficient interactive management, navigation and ...
Robert Kincaid, Heidi Lam
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Scientific measurements are often depicted as line graphs. State-of-the-art high throughput systems in life sciences, telemetry and electronics measurement rapidly generate hundreds to thousands of such graphs. Despite the increasing volume and ubiquity of such data, few software systems provide efficient interactive management, navigation and ...
Robert Kincaid, Heidi Lam
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1992
Following ideas of \textit{P. A. Catlin} [J. Graph Theory 12, No. 1, 29-45 (1988; Zbl 0659.05073)] and using a previous result of his own in a submitted paper, the author proves: If \(G\) is a 3-edge connected simple triangle-free graph on \(n\) vertices with minimum degree \(\delta(G)\geq 4\) such that for the degrees the condition \((*)\) \(d(u)+ d(v)
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Following ideas of \textit{P. A. Catlin} [J. Graph Theory 12, No. 1, 29-45 (1988; Zbl 0659.05073)] and using a previous result of his own in a submitted paper, the author proves: If \(G\) is a 3-edge connected simple triangle-free graph on \(n\) vertices with minimum degree \(\delta(G)\geq 4\) such that for the degrees the condition \((*)\) \(d(u)+ d(v)
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1990
The same data can sometimes be presented in either a chart or a graph. Each will have a different impact on the reader.
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The same data can sometimes be presented in either a chart or a graph. Each will have a different impact on the reader.
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Hematology and oncology clinical care during the coronavirus disease 2019 pandemic
Ca-A Cancer Journal for Clinicians, 2020Manish A Shah +2 more
exaly