characterize graph

USAGE SUMMARY

The phrase "characterize graph" is not correct in standard written English as it lacks a clear grammatical structure.
It could be used in a context where you are discussing the act of describing or defining the features of a graph, but it needs additional words for clarity. Example: "In this section, we will characterize the graph to highlight its key features and trends."

⚠ May contain grammatical issues

Bioinformatics

Plosone

Journal of the Brazilian Computer Society

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Using these STMs, graph topological scale spaces can be constructed that characterize graph topology across the full range of scales, from local to a global scale.

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

For giving a short review on information-theoretic methods to characterize graphs [6], [7], [14], [27], [28], [29], we want to emphasize that the problem of quantifying certain structural information of systems was a starting point of an emerging field that deals with applying information-theoretic techniques to networks, e.g., for investigating living systems [30], [31], [32], [33], [34], [35].

Plosone

Apart from bounds to estimate the entropy of a single hierarchical graph, we see that the derived bounds can also be used for characterizing graph classes.

Plosone

The following theorem characterizes graphs having an orientation with a given in-degree vector.

Journal of the Brazilian Computer Society

For this reason, entropy bounds for special graph classes help to reduce the complexity of such problems and can be also used for characterizing graphs or graph classes by using information-theoretic measures.

Plosone

In particular, we propose and analyze a new model of graph-based visibility for coalition formation games and tightly characterize the graph structures that allow polynomial-time convergence – it can be achieved if and only if coalition formation is based on complete or star graphs.

Artificial Intelligence

So it is interesting to characterize a graph having an extremal value of the matching energy with some graph invariants.

Journal of Inequalities and Applications

The authors characterize the graphs whose clique graphs are free of triangles in terms of forbidden induced subgraphs: K1,3, the 4-fan and K4.

Journal of the Brazilian Computer Society

So far, spectra of graphs have already been used to characterize chemical graphs [41], [44].

Plosone

We characterize the graphs with the kth maximum spectral radius among graphs in (mathbb{U}(n)) for (k=1) if (nge6), (k=2) if (nge8), and (k=3,4,5) if (nge10), and the graph with minimum least eigenvalue (maximum spread, respectively) among graphs in (mathbb{U}(n)) for (nge6).

Journal of Inequalities and Applications

In this paper, we characterize the graphs with the kth maximum spectral radius among graphs in (mathbb{U}(n)) for (k=1) if (nge6), (k=2) if (nge8), and (k=3,4,5) if (nge10), and the graph with minimum least eigenvalue (maximum spread, respectively) among graphs in (mathbb{U}(n)) for (nge6).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

For clarity, use more common verbs like "describe", "define", or "analyze" instead of "characterize" directly followed by "graph". This enhances readability and avoids potential grammatical ambiguity.

Common error

Avoid directly combining "characterize" with "graph" without a connecting preposition or article (e.g., "characterize the graph" or "characterize aspects of the graph"). This direct phrasing can sound awkward and is not idiomatic English.

Linguistic Context

The phrase "characterize graph" functions as a verb and noun combination where the intention is to describe the act of defining or specifying the key properties of a graph. However, as Ludwig AI points out, it lacks grammatical completeness.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

20%

Formal & Business

20%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "characterize graph" is used in scientific and technical contexts to describe the process of defining the properties of a graph. However, according to Ludwig AI, this direct phrasing is grammatically incorrect and less common than alternatives. For improved clarity and grammatical correctness, it is better to insert an article or preposition, using phrases such as "characterize the graph" or "characterize the graph's properties". More common and natural sounding alternatives are "describe the graph", "define the graph", or "analyze the graph".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

describe the graph

Replaces "characterize" with a more common and straightforward verb, focusing on a general description.

define the graph

Uses "define" to emphasize setting out the nature of the graph in a clear and specific way.

analyze the graph

Shifts the focus to a detailed examination of the graph's properties and structure.

model the graph

Implies creating a representation of the graph, often for simulation or prediction.

identify graph properties

Focuses on recognizing and naming the specific characteristics of the graph.

determine the graph's features

Emphasizes finding out what distinguishes the graph.

elucidate the graph's structure

Uses a more formal tone, highlighting the clarification of the graph's organization.

outline the graph

Suggests a brief, general description of the graph's main aspects.

map the graph

Implies creating a visual or structural representation of the graph's components and connections.

interpret the graph

Focuses on explaining the meaning and significance of the graph's features.

FAQs

How can I correctly use "characterize" when referring to a graph?

To use "characterize" correctly with a graph, insert a preposition or article to clarify the relationship. For example, use "characterize the graph's properties" or "characterize aspects of the graph".

What is a more common way to "characterize graph"?

Instead of "characterize graph", more common alternatives include "describe the graph", "define the graph", or "analyze the graph".

Is "characterize graph" grammatically correct?

According to Ludwig AI, the phrase "characterize graph" is not considered grammatically correct in standard written English. It lacks a necessary article or preposition for clarity.

What does it mean to "characterize" something in a mathematical or scientific context?

In mathematical or scientific contexts, to "characterize" means to describe the key properties or features of something in order to uniquely identify or define it. Therefore, it's better to say "characterize the properties" instead of the "characterize graph".