The Name C/kp4/38306.gif in Chinese/Japanese on a Personalized Wall Scroll.

The dictionary definition is:
Relations/relationship, to concern, to affect, to have to do with, or connection.

But there's more to it...

In China, the relationship that you have with certain people can open doors for you. Having guanxi with someone also means they would never defraud you but are honor-bound to treat you fairly (of course, this goes both ways). Sometimes it is suggested that guanxi is the exchange of favors. 關繫 / 関繫 / 關係 is more about having a relationship that allows you to ask for and expect favors without shame.

There is no concept in western culture that exactly matches guanxi, but perhaps having a social or professional network is similar.

Note that there are some variations common within Chinese, Japanese Kanji, and Korean Hanja for this word...

Japanese tend to use a Chinese alternate form as shown to the right for
the first character.

There's also another alternate form of that first character (currently used as the official Simplified form in mainland China) which looks like the character shown to the right. It's basically the central radical of the alternate version shown above but without the “door radical” around it. In more free-flowing calligraphy styles, this version would be the likely choice for a calligrapher.

In Modern Japanese, they use the character shown to the right.
They also tend to use this same form in Korean Hanja (I've only checked this word in my Korean dictionary, but it has not been confirmed by a translator's review).

If that was not confusing enough, there is another alternate form of that second character. See right.

An Asian calligrapher of any nationality may use these forms at their discretion. However, They would tend to stick to the most common form used in their respective languages.

If you have any preference on any of these issues, please give us a special note with your order, and we'll make sure it's done the way you want.