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On some Versions of Conjectures of Bondy and Jung
Combinatorics · Submitted 7 May 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A number of extended and strengthened versions of these conjectures are proposed.
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The abstract, sentence by sentence
Using algebraic transformations and equivalent reformulations we derive a number of new results from some earlier ones (by the author) in more accepted terms closely related to well-known conjectures of Bondy and Jung including a number of classical results in hamiltonian graph theory (due to Dirac, Ore, Nash-Williams, Bondy, Jung and so on) as special cases. A number of extended and strengthened versions of these conjectures are proposed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using algebraic transformations and equivalent reformulations we derive a number of new results from some earlier ones (by the author) in more accepted terms closely related to well-known conjectures of Bondy and Jung including a number of classical results in hamiltonian graph theory (due to Dirac, Ore, Nash-Williams, Bondy, Jung and so on) as special cases. | contribution 0.83 | 0.92 | 0.42 | asserted 1.00 |
| s1 | A number of extended and strengthened versions of these conjectures are proposed. | contribution 0.89 | 0.91 | 0.45 | asserted 0.97 |
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Original abstract
Using algebraic transformations and equivalent reformulations we derive a number of new results from some earlier ones (by the author) in more accepted terms closely related to well-known conjectures of Bondy and Jung including a number of classical results in hamiltonian graph theory (due to Dirac, Ore, Nash-Williams, Bondy, Jung and so on) as special cases. A number of extended and strengthened versions of these conjectures are proposed.
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