The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...

The Laplacian spectrum of a graph comprises the eigenvalues of its Laplacian matrix, a fundamental operator defined as the difference between the degree matrix and the adjacency matrix. This spectrum ...

Baseball is a series of random events. Small samples of the season are difficult to evaluate and statistics often take several weeks to several months or more of baseball to become useful. However, ...

Three Oak Ridge High School seniors from the class of 2026 share their experiences, future plans, and advice.

Here was India’s premier medical institute using the language of modern molecular biology to examine what generations of ...

If the great United States of America is to survive another 250 years, it will be because of people like us, people that ...

Compare tubs that match your style, needs & space. Walk-in tubs can be expensive — and for many, the expense can be prohibitive. There are some government programs, grants and other funding sources ...

IDOT says it will repay up to $60,000 in student loans for up to 50 eligible employees over four years as part of an ...

For decades, many runners, and even coaches, have assumed that being a runner meant never walking during a training run or race. Even the most accomplished runners would apologize when they walked at ...

Leslie Sansone's walking workout videos are popular on YouTube. Try them on days when the weather doesn't cooperate. But this is a difficult time of year for walkers: The weather is unpredictable and ...

Increasing your daily step count is more important for weight loss than the exact number of steps. Your body weight, effort, and pace affect how many calories you burn from walking. Adding intensity ...

Walking can strengthen the muscles supporting your spine, improving stability and reducing lower back pain. Regular exercise including walking may reduce lower back pain flare-ups by almost 50%.