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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.

how it is stated · asserted 0.97 read the record →

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arXiv ID1405.1672 (version 1)
Pith ID7WUC6T2A, Pith's permanent record of this paper and its review
CitationZh.G. Nikoghosyan. "On some Versions of Conjectures of Bondy and Jung." arXiv:1405.1672 (2014). https://pith.science/paper/7WUC6T2A
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,338 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.76 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
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

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
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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