The matching polynomial of a graph has coefficients that give the number of matchings in the graph. For a regular graph, we show it is possible to recover the order, degree, girth and number of minimal cycles from the matching polynomial. If a graph is characterized by its matching polynomial, then it is called matching unique. Here we establish the matching uniqueness of many specific regular graphs; each of these graphs is either a cage, or a graph whose components are isomorphic to Moore graphs. Our main tool in establishing the matching uniqueness of these graphs is the ability to count certain subgraphs of a regular graph.
We present a novel timer-based connection management protocol SSCMP (Sequenced Synchronized Clock Message Protocol) providing reliable ordered at-most-once delivery of messages. Apart from being strikingly simple, it also surpasses Basket Blazer Femme Grise existing protocols like Delta-t, VMTP, XTP, and CMSC with respect to correctness in case of clock synchronization failures. By means of a rigorous mathematical analysis, we show that our SSCMP implements a certain abstract specification on top of a fairly realistic system model, putting on a firm ground the very positive experiences we gathered from experiments with our actual implementation.
Motivated by large educational differences Blazer Noir in geographic mobility, this paper considers a simple dynamic extension of Roy׳s (1951) model and analyzes it using new evidence on net versus excess mobility and the individual-level relationship between mobility and wages. According to the model, the dispersion of a labor income shock specific to a worker-location match is greater for more educated workers and accounts for large educational differences in mobility. In the model, labor mobility raises both the average wage and Chaussure Nike Blazer the college wage premium, a prediction consistent with differences between Europe and the U.S.
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