The first principle in adapting chart design for mobile users is the emphasis on simplicity and clarity. Mobile screens offer limited real estate, making it essential to present data in a straightforward manner. Complex charts that are rich in detail can become illegible and overwhelming on mobile devices. Therefore, it's crucial to distill data to its most essential elements. For instance, instead of using detailed bar graphs with numerous categories, one might opt for a simplified version that highlights the key trends or figures of interest. This approach aligns with the findings from McKinsey & Company, which emphasizes the importance of clarity and simplicity in communication for effective decision-making.

Moreover, the use of color should be carefully considered to enhance readability. High contrast colors can make charts more legible on small screens, while the use of too many colors can lead to confusion. Accenture's research on data visualization for mobile platforms suggests using a limited color palette and employing color not just for aesthetic purposes but to signify data relationships or to highlight critical data points.

Additionally, the choice of chart type plays a significant role in ensuring simplicity and clarity. Pie charts, for example, may not be as effective on a mobile screen due to the difficulty in distinguishing between slices of similar sizes. Instead, stacked bar charts or line graphs might present a clearer view of data distributions or trends over time, respectively.

Interactivity is another crucial aspect of adapting chart designs for mobile-centric executive audiences. Given the dynamic nature of mobile devices, static charts may not fully leverage the capabilities of these platforms. Interactive charts that allow users to drill down into specifics, filter data, or even change visualization types offer a more engaging and informative experience. According to a report by Gartner, interactive data visualizations can significantly enhance executive decision-making by allowing leaders to explore data in more depth and from different angles.

Implementing features such as touch gestures for zooming in and out or swiping to view different segments of data can make charts more accessible and user-friendly. For example, an interactive line graph could enable users to tap on a data point to see exact figures or additional details. This level of interactivity not only makes the data more accessible but also allows executives to explore the data at their own pace and according to their specific interests.

Furthermore, the use of tooltips and pop-ups can provide additional context without cluttering the visual presentation. These elements can offer brief explanations of the data or insights into what the data might imply for the organization, thereby enhancing the overall utility of the chart.

For mobile-centric executive audiences, the contextual relevance of data presentation is paramount. Charts should not only present data but also provide insights and implications relevant to the executive's specific context. This means tailoring the visualization to reflect the organization's strategic priorities, industry trends, or specific challenges the executive might be facing. Bain & Company's insights on data-driven decision-making highlight the importance of context in ensuring that data visualizations lead to actionable insights.

One way to achieve this is by integrating benchmarking data or industry averages alongside the organization's performance metrics. This comparative approach can help executives quickly grasp where their organization stands in relation to competitors or the industry at large. Additionally, incorporating predictive analytics or trend lines can offer foresight into future scenarios, enabling more strategic planning and decision-making.

Real-world examples of effective mobile-centric chart design include dashboards used by executives in the retail industry to track sales performance in real-time or financial services firms employing mobile analytics to monitor market trends and portfolio performances. These examples underscore the importance of designing charts that are not only visually accessible on mobile devices but also rich in contextual insights that drive strategic action.