Universal Framework for Wireless Scheduling Problems

Magnus M. Halldorsson; Tigran Tonoyan

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Universal Framework for Wireless Scheduling Problems

Magnus M. Halldorsson, Tigran Tonoyan

Networking and Internet Architecture · Submitted 29 May 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We propose the first framework for approximation algorithms in the physical model that addresses these questions in full, including rate control.

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,817 input tokens.

What the abstract itself states, as probabilities: claims first 0.96 · states limitation 0.54 · human participants 0.02 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.94 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and rate adjustment? We propose the first framework for approximation algorithms in the physical model that addresses these questions in full, including rate control. The approximations obtained are doubly logarithmic in the link length and rate diversity. Where previous bounds are known, this gives an exponential improvement. A key contribution is showing that the complex interference relationship of the physical model can be simplified into a novel type of amenable conflict graphs, at a small cost. We also show that the approximation obtained is provably the best possible for any conflict graph formulation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and rate adjustment?	background 1.00	0.05	0.03	asserted 0.91
s1	We propose the first framework for approximation algorithms in the physical model that addresses these questions in full, including rate control.	contribution 1.00	0.95	0.37	asserted 1.00
s2	The approximations obtained are doubly logarithmic in the link length and rate diversity.	result 1.00	0.93	0.23	asserted 1.00
s3	Where previous bounds are known, this gives an exponential improvement.	interpretation 0.69	0.75	0.13	asserted 0.99
s4	A key contribution is showing that the complex interference relationship of the physical model can be simplified into a novel type of amenable conflict graphs, at a small cost.	contribution 0.98	0.95	0.20	asserted 1.00
s5	We also show that the approximation obtained is provably the best possible for any conflict graph formulation.	result 0.77	0.95	0.22	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.66 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

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

An overarching issue in resource management of wireless networks is assessing their capacity: How much communication can be achieved in a network, utilizing all the tools available: power control, scheduling, routing, channel assignment and rate adjustment? We propose the first framework for approximation algorithms in the physical model that addresses these questions in full, including rate control. The approximations obtained are doubly logarithmic in the link length and rate diversity. Where previous bounds are known, this gives an exponential improvement. A key contribution is showing that the complex interference relationship of the physical model can be simplified into a novel type of amenable conflict graphs, at a small cost. We also show that the approximation obtained is provably the best possible for any conflict graph formulation.

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How each label was checked · JSON

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We propose the first framework for approximation algorithms in the physical model of wireless interference that addresses these questions in full.

Effective Wireless Scheduling via Hypergraph Sketches · 0.97

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